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Finding the Third Proportional to 130,167 and 280,260

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Solution

The third proportional to 130,167 and 280,260 is: 603,422.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,167 : 280,260 = 280,260 : x
  2. Step 2: Convert to fraction form
    130,167/280,260 = 280,260/x
  3. Step 3: Cross multiply
    130,167x = 280,260 × 280,260
  4. Step 4: Simplify right side
    130,167x = 78,545,667,600
  5. Step 5: Solve for x
    x = 78,545,667,600/130,167
  6. Step 6: Final answer
    x = 603,422.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.