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Finding the Third Proportional to 174,538.13 and 266,883.19

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Solution

The third proportional to 174,538.13 and 266,883.19 is: 408,086.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,538.13 : 266,883.19 = 266,883.19 : x
  2. Step 2: Convert to fraction form
    174,538.13/266,883.19 = 266,883.19/x
  3. Step 3: Cross multiply
    174,538.13x = 266,883.19 × 266,883.19
  4. Step 4: Simplify right side
    174,538.13x = 71,226,635,770.16
  5. Step 5: Solve for x
    x = 71,226,635,770.16/174,538.13
  6. Step 6: Final answer
    x = 408,086.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.