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Finding the Third Proportional to 66,474 and 156,411

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Solution

The third proportional to 66,474 and 156,411 is: 368,029.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,474 : 156,411 = 156,411 : x
  2. Step 2: Convert to fraction form
    66,474/156,411 = 156,411/x
  3. Step 3: Cross multiply
    66,474x = 156,411 × 156,411
  4. Step 4: Simplify right side
    66,474x = 24,464,400,921
  5. Step 5: Solve for x
    x = 24,464,400,921/66,474
  6. Step 6: Final answer
    x = 368,029.62

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.