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Finding the Third Proportional to 134,306 and 197,747

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Solution

The third proportional to 134,306 and 197,747 is: 291,155.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,306 : 197,747 = 197,747 : x
  2. Step 2: Convert to fraction form
    134,306/197,747 = 197,747/x
  3. Step 3: Cross multiply
    134,306x = 197,747 × 197,747
  4. Step 4: Simplify right side
    134,306x = 39,103,876,009
  5. Step 5: Solve for x
    x = 39,103,876,009/134,306
  6. Step 6: Final answer
    x = 291,155.09

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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.