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Finding the Third Proportional to 266,886 and 382,251

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Solution

The third proportional to 266,886 and 382,251 is: 547,484.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,886 : 382,251 = 382,251 : x
  2. Step 2: Convert to fraction form
    266,886/382,251 = 382,251/x
  3. Step 3: Cross multiply
    266,886x = 382,251 × 382,251
  4. Step 4: Simplify right side
    266,886x = 146,115,827,001
  5. Step 5: Solve for x
    x = 146,115,827,001/266,886
  6. Step 6: Final answer
    x = 547,484.05

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.