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Finding the Third Proportional to 109,330 and 239,584

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Solution

The third proportional to 109,330 and 239,584 is: 525,020.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,330 : 239,584 = 239,584 : x
  2. Step 2: Convert to fraction form
    109,330/239,584 = 239,584/x
  3. Step 3: Cross multiply
    109,330x = 239,584 × 239,584
  4. Step 4: Simplify right side
    109,330x = 57,400,493,056
  5. Step 5: Solve for x
    x = 57,400,493,056/109,330
  6. Step 6: Final answer
    x = 525,020.52

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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.