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Finding the Third Proportional to 157,057 and 344,020

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Solution

The third proportional to 157,057 and 344,020 is: 753,546.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,057 : 344,020 = 344,020 : x
  2. Step 2: Convert to fraction form
    157,057/344,020 = 344,020/x
  3. Step 3: Cross multiply
    157,057x = 344,020 × 344,020
  4. Step 4: Simplify right side
    157,057x = 118,349,760,400
  5. Step 5: Solve for x
    x = 118,349,760,400/157,057
  6. Step 6: Final answer
    x = 753,546.55

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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.