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Finding the Third Proportional to 157,805.50 and 244,463.75

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Solution

The third proportional to 157,805.50 and 244,463.75 is: 378,710.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,805.50 : 244,463.75 = 244,463.75 : x
  2. Step 2: Convert to fraction form
    157,805.50/244,463.75 = 244,463.75/x
  3. Step 3: Cross multiply
    157,805.50x = 244,463.75 × 244,463.75
  4. Step 4: Simplify right side
    157,805.50x = 59,762,525,064.06
  5. Step 5: Solve for x
    x = 59,762,525,064.06/157,805.50
  6. Step 6: Final answer
    x = 378,710.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.