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Finding the Third Proportional to 116,779 and 241,862

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Solution

The third proportional to 116,779 and 241,862 is: 500,922.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,779 : 241,862 = 241,862 : x
  2. Step 2: Convert to fraction form
    116,779/241,862 = 241,862/x
  3. Step 3: Cross multiply
    116,779x = 241,862 × 241,862
  4. Step 4: Simplify right side
    116,779x = 58,497,227,044
  5. Step 5: Solve for x
    x = 58,497,227,044/116,779
  6. Step 6: Final answer
    x = 500,922.49

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.