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Finding the Third Proportional to 128,384 and 268,432

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Solution

The third proportional to 128,384 and 268,432 is: 561,251.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,384 : 268,432 = 268,432 : x
  2. Step 2: Convert to fraction form
    128,384/268,432 = 268,432/x
  3. Step 3: Cross multiply
    128,384x = 268,432 × 268,432
  4. Step 4: Simplify right side
    128,384x = 72,055,738,624
  5. Step 5: Solve for x
    x = 72,055,738,624/128,384
  6. Step 6: Final answer
    x = 561,251.70

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.