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Finding the Third Proportional to 212,886 and 296,001

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Solution

The third proportional to 212,886 and 296,001 is: 411,565.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,886 : 296,001 = 296,001 : x
  2. Step 2: Convert to fraction form
    212,886/296,001 = 296,001/x
  3. Step 3: Cross multiply
    212,886x = 296,001 × 296,001
  4. Step 4: Simplify right side
    212,886x = 87,616,592,001
  5. Step 5: Solve for x
    x = 87,616,592,001/212,886
  6. Step 6: Final answer
    x = 411,565.78

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.