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Finding the Third Proportional to 151,779 and 222,747

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Solution

The third proportional to 151,779 and 222,747 is: 326,897.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,779 : 222,747 = 222,747 : x
  2. Step 2: Convert to fraction form
    151,779/222,747 = 222,747/x
  3. Step 3: Cross multiply
    151,779x = 222,747 × 222,747
  4. Step 4: Simplify right side
    151,779x = 49,616,226,009
  5. Step 5: Solve for x
    x = 49,616,226,009/151,779
  6. Step 6: Final answer
    x = 326,897.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.