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Finding the Third Proportional to 180,631.69 and 427,177.13

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Solution

The third proportional to 180,631.69 and 427,177.13 is: 1,010,234.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,631.69 : 427,177.13 = 427,177.13 : x
  2. Step 2: Convert to fraction form
    180,631.69/427,177.13 = 427,177.13/x
  3. Step 3: Cross multiply
    180,631.69x = 427,177.13 × 427,177.13
  4. Step 4: Simplify right side
    180,631.69x = 182,480,296,123.27
  5. Step 5: Solve for x
    x = 182,480,296,123.27/180,631.69
  6. Step 6: Final answer
    x = 1,010,234.13

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.