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Finding the Third Proportional to 108,779 and 237,484

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Solution

The third proportional to 108,779 and 237,484 is: 518,470.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,779 : 237,484 = 237,484 : x
  2. Step 2: Convert to fraction form
    108,779/237,484 = 237,484/x
  3. Step 3: Cross multiply
    108,779x = 237,484 × 237,484
  4. Step 4: Simplify right side
    108,779x = 56,398,650,256
  5. Step 5: Solve for x
    x = 56,398,650,256/108,779
  6. Step 6: Final answer
    x = 518,470.02

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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.