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Finding the Third Proportional to 212,934 and 296,070

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Solution

The third proportional to 212,934 and 296,070 is: 411,664.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,934 : 296,070 = 296,070 : x
  2. Step 2: Convert to fraction form
    212,934/296,070 = 296,070/x
  3. Step 3: Cross multiply
    212,934x = 296,070 × 296,070
  4. Step 4: Simplify right side
    212,934x = 87,657,444,900
  5. Step 5: Solve for x
    x = 87,657,444,900/212,934
  6. Step 6: Final answer
    x = 411,664.86

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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.