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Finding the Third Proportional to 109,180 and 237,582

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Solution

The third proportional to 109,180 and 237,582 is: 516,992.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,180 : 237,582 = 237,582 : x
  2. Step 2: Convert to fraction form
    109,180/237,582 = 237,582/x
  3. Step 3: Cross multiply
    109,180x = 237,582 × 237,582
  4. Step 4: Simplify right side
    109,180x = 56,445,206,724
  5. Step 5: Solve for x
    x = 56,445,206,724/109,180
  6. Step 6: Final answer
    x = 516,992.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.