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Finding the Third Proportional to 130,885 and 207,586

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Solution

The third proportional to 130,885 and 207,586 is: 329,235.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,885 : 207,586 = 207,586 : x
  2. Step 2: Convert to fraction form
    130,885/207,586 = 207,586/x
  3. Step 3: Cross multiply
    130,885x = 207,586 × 207,586
  4. Step 4: Simplify right side
    130,885x = 43,091,947,396
  5. Step 5: Solve for x
    x = 43,091,947,396/130,885
  6. Step 6: Final answer
    x = 329,235.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.