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Finding the Third Proportional to 180,464 and 252,292

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Solution

The third proportional to 180,464 and 252,292 is: 352,708.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,464 : 252,292 = 252,292 : x
  2. Step 2: Convert to fraction form
    180,464/252,292 = 252,292/x
  3. Step 3: Cross multiply
    180,464x = 252,292 × 252,292
  4. Step 4: Simplify right side
    180,464x = 63,651,253,264
  5. Step 5: Solve for x
    x = 63,651,253,264/180,464
  6. Step 6: Final answer
    x = 352,708.87

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.