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Finding the Third Proportional to 212,753.25 and 323,551.13

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Solution

The third proportional to 212,753.25 and 323,551.13 is: 492,050.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,753.25 : 323,551.13 = 323,551.13 : x
  2. Step 2: Convert to fraction form
    212,753.25/323,551.13 = 323,551.13/x
  3. Step 3: Cross multiply
    212,753.25x = 323,551.13 × 323,551.13
  4. Step 4: Simplify right side
    212,753.25x = 104,685,330,488.77
  5. Step 5: Solve for x
    x = 104,685,330,488.77/212,753.25
  6. Step 6: Final answer
    x = 492,050.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.