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Finding the Third Proportional to 239,582 and 359,342

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Solution

The third proportional to 239,582 and 359,342 is: 538,966.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,582 : 359,342 = 359,342 : x
  2. Step 2: Convert to fraction form
    239,582/359,342 = 359,342/x
  3. Step 3: Cross multiply
    239,582x = 359,342 × 359,342
  4. Step 4: Simplify right side
    239,582x = 129,126,672,964
  5. Step 5: Solve for x
    x = 129,126,672,964/239,582
  6. Step 6: Final answer
    x = 538,966.50

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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.