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Finding the Third Proportional to 157,737.50 and 344,023.50

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Solution

The third proportional to 157,737.50 and 344,023.50 is: 750,310.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,737.50 : 344,023.50 = 344,023.50 : x
  2. Step 2: Convert to fraction form
    157,737.50/344,023.50 = 344,023.50/x
  3. Step 3: Cross multiply
    157,737.50x = 344,023.50 × 344,023.50
  4. Step 4: Simplify right side
    157,737.50x = 118,352,168,552.25
  5. Step 5: Solve for x
    x = 118,352,168,552.25/157,737.50
  6. Step 6: Final answer
    x = 750,310.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.