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Finding the Third Proportional to 128,177.50 and 280,478

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Solution

The third proportional to 128,177.50 and 280,478 is: 613,741.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,177.50 : 280,478 = 280,478 : x
  2. Step 2: Convert to fraction form
    128,177.50/280,478 = 280,478/x
  3. Step 3: Cross multiply
    128,177.50x = 280,478 × 280,478
  4. Step 4: Simplify right side
    128,177.50x = 78,667,908,484
  5. Step 5: Solve for x
    x = 78,667,908,484/128,177.50
  6. Step 6: Final answer
    x = 613,741.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.