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Finding the Third Proportional to 169,885.69 and 254,814.19

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Solution

The third proportional to 169,885.69 and 254,814.19 is: 382,199.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,885.69 : 254,814.19 = 254,814.19 : x
  2. Step 2: Convert to fraction form
    169,885.69/254,814.19 = 254,814.19/x
  3. Step 3: Cross multiply
    169,885.69x = 254,814.19 × 254,814.19
  4. Step 4: Simplify right side
    169,885.69x = 64,930,270,151.29
  5. Step 5: Solve for x
    x = 64,930,270,151.29/169,885.69
  6. Step 6: Final answer
    x = 382,199.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.