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Finding the Third Proportional to 212,414.25 and 341,857.50

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Solution

The third proportional to 212,414.25 and 341,857.50 is: 550,182.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,414.25 : 341,857.50 = 341,857.50 : x
  2. Step 2: Convert to fraction form
    212,414.25/341,857.50 = 341,857.50/x
  3. Step 3: Cross multiply
    212,414.25x = 341,857.50 × 341,857.50
  4. Step 4: Simplify right side
    212,414.25x = 116,866,550,306.25
  5. Step 5: Solve for x
    x = 116,866,550,306.25/212,414.25
  6. Step 6: Final answer
    x = 550,182.25

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.