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Finding the Third Proportional to 182,511 and 267,460.50

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Solution

The third proportional to 182,511 and 267,460.50 is: 391,949.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,511 : 267,460.50 = 267,460.50 : x
  2. Step 2: Convert to fraction form
    182,511/267,460.50 = 267,460.50/x
  3. Step 3: Cross multiply
    182,511x = 267,460.50 × 267,460.50
  4. Step 4: Simplify right side
    182,511x = 71,535,119,060.25
  5. Step 5: Solve for x
    x = 71,535,119,060.25/182,511
  6. Step 6: Final answer
    x = 391,949.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.