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Finding the Third Proportional to 109,382 and 239,010

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Solution

The third proportional to 109,382 and 239,010 is: 522,259.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,382 : 239,010 = 239,010 : x
  2. Step 2: Convert to fraction form
    109,382/239,010 = 239,010/x
  3. Step 3: Cross multiply
    109,382x = 239,010 × 239,010
  4. Step 4: Simplify right side
    109,382x = 57,125,780,100
  5. Step 5: Solve for x
    x = 57,125,780,100/109,382
  6. Step 6: Final answer
    x = 522,259.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.