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Finding the Third Proportional to 110,800.13 and 182,034

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Solution

The third proportional to 110,800.13 and 182,034 is: 299,064.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,800.13 : 182,034 = 182,034 : x
  2. Step 2: Convert to fraction form
    110,800.13/182,034 = 182,034/x
  3. Step 3: Cross multiply
    110,800.13x = 182,034 × 182,034
  4. Step 4: Simplify right side
    110,800.13x = 33,136,377,156
  5. Step 5: Solve for x
    x = 33,136,377,156/110,800.13
  6. Step 6: Final answer
    x = 299,064.44

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.