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Finding the Third Proportional to 109,632 and 235,890

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Solution

The third proportional to 109,632 and 235,890 is: 507,553.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,632 : 235,890 = 235,890 : x
  2. Step 2: Convert to fraction form
    109,632/235,890 = 235,890/x
  3. Step 3: Cross multiply
    109,632x = 235,890 × 235,890
  4. Step 4: Simplify right side
    109,632x = 55,644,092,100
  5. Step 5: Solve for x
    x = 55,644,092,100/109,632
  6. Step 6: Final answer
    x = 507,553.38

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.