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Finding the Third Proportional to 239,501 and 359,285

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Solution

The third proportional to 239,501 and 359,285 is: 538,977.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,501 : 359,285 = 359,285 : x
  2. Step 2: Convert to fraction form
    239,501/359,285 = 359,285/x
  3. Step 3: Cross multiply
    239,501x = 359,285 × 359,285
  4. Step 4: Simplify right side
    239,501x = 129,085,711,225
  5. Step 5: Solve for x
    x = 129,085,711,225/239,501
  6. Step 6: Final answer
    x = 538,977.75

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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.