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Finding the Third Proportional to 134,660 and 291,606

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Solution

The third proportional to 134,660 and 291,606 is: 631,472.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,660 : 291,606 = 291,606 : x
  2. Step 2: Convert to fraction form
    134,660/291,606 = 291,606/x
  3. Step 3: Cross multiply
    134,660x = 291,606 × 291,606
  4. Step 4: Simplify right side
    134,660x = 85,034,059,236
  5. Step 5: Solve for x
    x = 85,034,059,236/134,660
  6. Step 6: Final answer
    x = 631,472.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.