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Finding the Third Proportional to 123,220.13 and 185,376.38

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Solution

The third proportional to 123,220.13 and 185,376.38 is: 278,886.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,220.13 : 185,376.38 = 185,376.38 : x
  2. Step 2: Convert to fraction form
    123,220.13/185,376.38 = 185,376.38/x
  3. Step 3: Cross multiply
    123,220.13x = 185,376.38 × 185,376.38
  4. Step 4: Simplify right side
    123,220.13x = 34,364,400,408.14
  5. Step 5: Solve for x
    x = 34,364,400,408.14/123,220.13
  6. Step 6: Final answer
    x = 278,886.26

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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.