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Finding the Third Proportional to 174,778.17 and 382,903.88

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Solution

The third proportional to 174,778.17 and 382,903.88 is: 838,865.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,778.17 : 382,903.88 = 382,903.88 : x
  2. Step 2: Convert to fraction form
    174,778.17/382,903.88 = 382,903.88/x
  3. Step 3: Cross multiply
    174,778.17x = 382,903.88 × 382,903.88
  4. Step 4: Simplify right side
    174,778.17x = 146,615,377,490.02
  5. Step 5: Solve for x
    x = 146,615,377,490.02/174,778.17
  6. Step 6: Final answer
    x = 838,865.49

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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.