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Finding the Third Proportional to 157,563 and 345,737.25

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Solution

The third proportional to 157,563 and 345,737.25 is: 758,644.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,563 : 345,737.25 = 345,737.25 : x
  2. Step 2: Convert to fraction form
    157,563/345,737.25 = 345,737.25/x
  3. Step 3: Cross multiply
    157,563x = 345,737.25 × 345,737.25
  4. Step 4: Simplify right side
    157,563x = 119,534,246,037.56
  5. Step 5: Solve for x
    x = 119,534,246,037.56/157,563
  6. Step 6: Final answer
    x = 758,644.14

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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.