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Finding the Third Proportional to 174,713.25 and 382,140.75

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Solution

The third proportional to 174,713.25 and 382,140.75 is: 835,835.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,713.25 : 382,140.75 = 382,140.75 : x
  2. Step 2: Convert to fraction form
    174,713.25/382,140.75 = 382,140.75/x
  3. Step 3: Cross multiply
    174,713.25x = 382,140.75 × 382,140.75
  4. Step 4: Simplify right side
    174,713.25x = 146,031,552,810.56
  5. Step 5: Solve for x
    x = 146,031,552,810.56/174,713.25
  6. Step 6: Final answer
    x = 835,835.59

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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.