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Finding the Third Proportional to 212,564 and 325,542

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Solution

The third proportional to 212,564 and 325,542 is: 498,567.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,564 : 325,542 = 325,542 : x
  2. Step 2: Convert to fraction form
    212,564/325,542 = 325,542/x
  3. Step 3: Cross multiply
    212,564x = 325,542 × 325,542
  4. Step 4: Simplify right side
    212,564x = 105,977,593,764
  5. Step 5: Solve for x
    x = 105,977,593,764/212,564
  6. Step 6: Final answer
    x = 498,567.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.