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Finding the Third Proportional to 180,704 and 279,248

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Solution

The third proportional to 180,704 and 279,248 is: 431,531.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,704 : 279,248 = 279,248 : x
  2. Step 2: Convert to fraction form
    180,704/279,248 = 279,248/x
  3. Step 3: Cross multiply
    180,704x = 279,248 × 279,248
  4. Step 4: Simplify right side
    180,704x = 77,979,445,504
  5. Step 5: Solve for x
    x = 77,979,445,504/180,704
  6. Step 6: Final answer
    x = 431,531.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.