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Finding the Third Proportional to 74,475 and 156,609

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Solution

The third proportional to 74,475 and 156,609 is: 329,323.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,475 : 156,609 = 156,609 : x
  2. Step 2: Convert to fraction form
    74,475/156,609 = 156,609/x
  3. Step 3: Cross multiply
    74,475x = 156,609 × 156,609
  4. Step 4: Simplify right side
    74,475x = 24,526,378,881
  5. Step 5: Solve for x
    x = 24,526,378,881/74,475
  6. Step 6: Final answer
    x = 329,323.65

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.