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Finding the Third Proportional to 266,204 and 402,078

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Solution

The third proportional to 266,204 and 402,078 is: 607,303.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,204 : 402,078 = 402,078 : x
  2. Step 2: Convert to fraction form
    266,204/402,078 = 402,078/x
  3. Step 3: Cross multiply
    266,204x = 402,078 × 402,078
  4. Step 4: Simplify right side
    266,204x = 161,666,718,084
  5. Step 5: Solve for x
    x = 161,666,718,084/266,204
  6. Step 6: Final answer
    x = 607,303.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.