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Finding the Third Proportional to 266,184 and 402,048

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Solution

The third proportional to 266,184 and 402,048 is: 607,258.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,184 : 402,048 = 402,048 : x
  2. Step 2: Convert to fraction form
    266,184/402,048 = 402,048/x
  3. Step 3: Cross multiply
    266,184x = 402,048 × 402,048
  4. Step 4: Simplify right side
    266,184x = 161,642,594,304
  5. Step 5: Solve for x
    x = 161,642,594,304/266,184
  6. Step 6: Final answer
    x = 607,258.87

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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.