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Finding the Third Proportional to 157,754 and 344,620

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Solution

The third proportional to 157,754 and 344,620 is: 752,836.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,754 : 344,620 = 344,620 : x
  2. Step 2: Convert to fraction form
    157,754/344,620 = 344,620/x
  3. Step 3: Cross multiply
    157,754x = 344,620 × 344,620
  4. Step 4: Simplify right side
    157,754x = 118,762,944,400
  5. Step 5: Solve for x
    x = 118,762,944,400/157,754
  6. Step 6: Final answer
    x = 752,836.34

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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.