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Finding the Third Proportional to 134,304 and 197,744

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Solution

The third proportional to 134,304 and 197,744 is: 291,150.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,304 : 197,744 = 197,744 : x
  2. Step 2: Convert to fraction form
    134,304/197,744 = 197,744/x
  3. Step 3: Cross multiply
    134,304x = 197,744 × 197,744
  4. Step 4: Simplify right side
    134,304x = 39,102,689,536
  5. Step 5: Solve for x
    x = 39,102,689,536/134,304
  6. Step 6: Final answer
    x = 291,150.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.