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Finding the Third Proportional to 183,514.50 and 267,282.50

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Solution

The third proportional to 183,514.50 and 267,282.50 is: 389,287.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,514.50 : 267,282.50 = 267,282.50 : x
  2. Step 2: Convert to fraction form
    183,514.50/267,282.50 = 267,282.50/x
  3. Step 3: Cross multiply
    183,514.50x = 267,282.50 × 267,282.50
  4. Step 4: Simplify right side
    183,514.50x = 71,439,934,806.25
  5. Step 5: Solve for x
    x = 71,439,934,806.25/183,514.50
  6. Step 6: Final answer
    x = 389,287.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.