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Finding the Third Proportional to 133,616.25 and 278,289

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Solution

The third proportional to 133,616.25 and 278,289 is: 579,605.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,616.25 : 278,289 = 278,289 : x
  2. Step 2: Convert to fraction form
    133,616.25/278,289 = 278,289/x
  3. Step 3: Cross multiply
    133,616.25x = 278,289 × 278,289
  4. Step 4: Simplify right side
    133,616.25x = 77,444,767,521
  5. Step 5: Solve for x
    x = 77,444,767,521/133,616.25
  6. Step 6: Final answer
    x = 579,605.91

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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.