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Finding the Third Proportional to 157,737.50 and 344,022.25

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Solution

The third proportional to 157,737.50 and 344,022.25 is: 750,305.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,737.50 : 344,022.25 = 344,022.25 : x
  2. Step 2: Convert to fraction form
    157,737.50/344,022.25 = 344,022.25/x
  3. Step 3: Cross multiply
    157,737.50x = 344,022.25 × 344,022.25
  4. Step 4: Simplify right side
    157,737.50x = 118,351,308,495.06
  5. Step 5: Solve for x
    x = 118,351,308,495.06/157,737.50
  6. Step 6: Final answer
    x = 750,305.47

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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.