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Finding the Third Proportional to 130,147 and 196,862

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Solution

The third proportional to 130,147 and 196,862 is: 297,775.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,147 : 196,862 = 196,862 : x
  2. Step 2: Convert to fraction form
    130,147/196,862 = 196,862/x
  3. Step 3: Cross multiply
    130,147x = 196,862 × 196,862
  4. Step 4: Simplify right side
    130,147x = 38,754,647,044
  5. Step 5: Solve for x
    x = 38,754,647,044/130,147
  6. Step 6: Final answer
    x = 297,775.95

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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.