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Finding the Third Proportional to 182,076 and 400,286

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Solution

The third proportional to 182,076 and 400,286 is: 880,010.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,076 : 400,286 = 400,286 : x
  2. Step 2: Convert to fraction form
    182,076/400,286 = 400,286/x
  3. Step 3: Cross multiply
    182,076x = 400,286 × 400,286
  4. Step 4: Simplify right side
    182,076x = 160,228,881,796
  5. Step 5: Solve for x
    x = 160,228,881,796/182,076
  6. Step 6: Final answer
    x = 880,010.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.