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Finding the Third Proportional to 239,496 and 359,277

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Solution

The third proportional to 239,496 and 359,277 is: 538,965.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,496 : 359,277 = 359,277 : x
  2. Step 2: Convert to fraction form
    239,496/359,277 = 359,277/x
  3. Step 3: Cross multiply
    239,496x = 359,277 × 359,277
  4. Step 4: Simplify right side
    239,496x = 129,079,962,729
  5. Step 5: Solve for x
    x = 129,079,962,729/239,496
  6. Step 6: Final answer
    x = 538,965.00

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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.