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Finding the Third Proportional to 108,597 and 235,890

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Solution

The third proportional to 108,597 and 235,890 is: 512,390.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,597 : 235,890 = 235,890 : x
  2. Step 2: Convert to fraction form
    108,597/235,890 = 235,890/x
  3. Step 3: Cross multiply
    108,597x = 235,890 × 235,890
  4. Step 4: Simplify right side
    108,597x = 55,644,092,100
  5. Step 5: Solve for x
    x = 55,644,092,100/108,597
  6. Step 6: Final answer
    x = 512,390.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.