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Finding the Third Proportional to 212,115 and 296,706

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Solution

The third proportional to 212,115 and 296,706 is: 415,031.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,115 : 296,706 = 296,706 : x
  2. Step 2: Convert to fraction form
    212,115/296,706 = 296,706/x
  3. Step 3: Cross multiply
    212,115x = 296,706 × 296,706
  4. Step 4: Simplify right side
    212,115x = 88,034,450,436
  5. Step 5: Solve for x
    x = 88,034,450,436/212,115
  6. Step 6: Final answer
    x = 415,031.71

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.