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Finding the Third Proportional to 108,870 and 233,292

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Solution

The third proportional to 108,870 and 233,292 is: 499,909.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,870 : 233,292 = 233,292 : x
  2. Step 2: Convert to fraction form
    108,870/233,292 = 233,292/x
  3. Step 3: Cross multiply
    108,870x = 233,292 × 233,292
  4. Step 4: Simplify right side
    108,870x = 54,425,157,264
  5. Step 5: Solve for x
    x = 54,425,157,264/108,870
  6. Step 6: Final answer
    x = 499,909.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.