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Finding the Third Proportional to 252,112.50 and 337,830.75

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Solution

The third proportional to 252,112.50 and 337,830.75 is: 452,693.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,112.50 : 337,830.75 = 337,830.75 : x
  2. Step 2: Convert to fraction form
    252,112.50/337,830.75 = 337,830.75/x
  3. Step 3: Cross multiply
    252,112.50x = 337,830.75 × 337,830.75
  4. Step 4: Simplify right side
    252,112.50x = 114,129,615,645.56
  5. Step 5: Solve for x
    x = 114,129,615,645.56/252,112.50
  6. Step 6: Final answer
    x = 452,693.21

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.