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Finding the Third Proportional to 133,616.81 and 278,290.13

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Solution

The third proportional to 133,616.81 and 278,290.13 is: 579,608.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,616.81 : 278,290.13 = 278,290.13 : x
  2. Step 2: Convert to fraction form
    133,616.81/278,290.13 = 278,290.13/x
  3. Step 3: Cross multiply
    133,616.81x = 278,290.13 × 278,290.13
  4. Step 4: Simplify right side
    133,616.81x = 77,445,393,672.52
  5. Step 5: Solve for x
    x = 77,445,393,672.52/133,616.81
  6. Step 6: Final answer
    x = 579,608.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.