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Finding the Third Proportional to 182,281.50 and 267,266.25

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Solution

The third proportional to 182,281.50 and 267,266.25 is: 391,873.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,281.50 : 267,266.25 = 267,266.25 : x
  2. Step 2: Convert to fraction form
    182,281.50/267,266.25 = 267,266.25/x
  3. Step 3: Cross multiply
    182,281.50x = 267,266.25 × 267,266.25
  4. Step 4: Simplify right side
    182,281.50x = 71,431,248,389.06
  5. Step 5: Solve for x
    x = 71,431,248,389.06/182,281.50
  6. Step 6: Final answer
    x = 391,873.28

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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.