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Finding the Third Proportional to 159,666 and 239,522

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Solution

The third proportional to 159,666 and 239,522 is: 359,317.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,666 : 239,522 = 239,522 : x
  2. Step 2: Convert to fraction form
    159,666/239,522 = 239,522/x
  3. Step 3: Cross multiply
    159,666x = 239,522 × 239,522
  4. Step 4: Simplify right side
    159,666x = 57,370,788,484
  5. Step 5: Solve for x
    x = 57,370,788,484/159,666
  6. Step 6: Final answer
    x = 359,317.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.