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Finding the Third Proportional to 182,899.69 and 281,346.19

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Solution

The third proportional to 182,899.69 and 281,346.19 is: 432,781.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,899.69 : 281,346.19 = 281,346.19 : x
  2. Step 2: Convert to fraction form
    182,899.69/281,346.19 = 281,346.19/x
  3. Step 3: Cross multiply
    182,899.69x = 281,346.19 × 281,346.19
  4. Step 4: Simplify right side
    182,899.69x = 79,155,677,220.79
  5. Step 5: Solve for x
    x = 79,155,677,220.79/182,899.69
  6. Step 6: Final answer
    x = 432,781.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.