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Finding the Third Proportional to 130,898 and 197,441

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Solution

The third proportional to 130,898 and 197,441 is: 297,811.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,898 : 197,441 = 197,441 : x
  2. Step 2: Convert to fraction form
    130,898/197,441 = 197,441/x
  3. Step 3: Cross multiply
    130,898x = 197,441 × 197,441
  4. Step 4: Simplify right side
    130,898x = 38,982,948,481
  5. Step 5: Solve for x
    x = 38,982,948,481/130,898
  6. Step 6: Final answer
    x = 297,811.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.