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Finding the Third Proportional to 239,510 and 359,283

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Solution

The third proportional to 239,510 and 359,283 is: 538,951.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,510 : 359,283 = 359,283 : x
  2. Step 2: Convert to fraction form
    239,510/359,283 = 359,283/x
  3. Step 3: Cross multiply
    239,510x = 359,283 × 359,283
  4. Step 4: Simplify right side
    239,510x = 129,084,274,089
  5. Step 5: Solve for x
    x = 129,084,274,089/239,510
  6. Step 6: Final answer
    x = 538,951.50

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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.