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Finding the Third Proportional to 268,227.50 and 498,415

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Solution

The third proportional to 268,227.50 and 498,415 is: 926,144.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,227.50 : 498,415 = 498,415 : x
  2. Step 2: Convert to fraction form
    268,227.50/498,415 = 498,415/x
  3. Step 3: Cross multiply
    268,227.50x = 498,415 × 498,415
  4. Step 4: Simplify right side
    268,227.50x = 248,417,512,225
  5. Step 5: Solve for x
    x = 248,417,512,225/268,227.50
  6. Step 6: Final answer
    x = 926,144.83

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.