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Finding the Third Proportional to 180,466 and 252,295

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Solution

The third proportional to 180,466 and 252,295 is: 352,713.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,466 : 252,295 = 252,295 : x
  2. Step 2: Convert to fraction form
    180,466/252,295 = 252,295/x
  3. Step 3: Cross multiply
    180,466x = 252,295 × 252,295
  4. Step 4: Simplify right side
    180,466x = 63,652,767,025
  5. Step 5: Solve for x
    x = 63,652,767,025/180,466
  6. Step 6: Final answer
    x = 352,713.35

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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.