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Finding the Third Proportional to 128,508.19 and 278,466.75

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Solution

The third proportional to 128,508.19 and 278,466.75 is: 603,414.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,508.19 : 278,466.75 = 278,466.75 : x
  2. Step 2: Convert to fraction form
    128,508.19/278,466.75 = 278,466.75/x
  3. Step 3: Cross multiply
    128,508.19x = 278,466.75 × 278,466.75
  4. Step 4: Simplify right side
    128,508.19x = 77,543,730,855.56
  5. Step 5: Solve for x
    x = 77,543,730,855.56/128,508.19
  6. Step 6: Final answer
    x = 603,414.71

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.