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Finding the Third Proportional to 174,778.03 and 382,903.31

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Solution

The third proportional to 174,778.03 and 382,903.31 is: 838,863.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,778.03 : 382,903.31 = 382,903.31 : x
  2. Step 2: Convert to fraction form
    174,778.03/382,903.31 = 382,903.31/x
  3. Step 3: Cross multiply
    174,778.03x = 382,903.31 × 382,903.31
  4. Step 4: Simplify right side
    174,778.03x = 146,614,946,723.47
  5. Step 5: Solve for x
    x = 146,614,946,723.47/174,778.03
  6. Step 6: Final answer
    x = 838,863.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.