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Finding the Third Proportional to 133,618.50 and 278,293

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Solution

The third proportional to 133,618.50 and 278,293 is: 579,612.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,618.50 : 278,293 = 278,293 : x
  2. Step 2: Convert to fraction form
    133,618.50/278,293 = 278,293/x
  3. Step 3: Cross multiply
    133,618.50x = 278,293 × 278,293
  4. Step 4: Simplify right side
    133,618.50x = 77,446,993,849
  5. Step 5: Solve for x
    x = 77,446,993,849/133,618.50
  6. Step 6: Final answer
    x = 579,612.81

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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.