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Finding the Third Proportional to 77,650 and 165,468

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Solution

The third proportional to 77,650 and 165,468 is: 352,603.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,650 : 165,468 = 165,468 : x
  2. Step 2: Convert to fraction form
    77,650/165,468 = 165,468/x
  3. Step 3: Cross multiply
    77,650x = 165,468 × 165,468
  4. Step 4: Simplify right side
    77,650x = 27,379,659,024
  5. Step 5: Solve for x
    x = 27,379,659,024/77,650
  6. Step 6: Final answer
    x = 352,603.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.