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Finding the Third Proportional to 212,749 and 314,922

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Solution

The third proportional to 212,749 and 314,922 is: 466,163.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,749 : 314,922 = 314,922 : x
  2. Step 2: Convert to fraction form
    212,749/314,922 = 314,922/x
  3. Step 3: Cross multiply
    212,749x = 314,922 × 314,922
  4. Step 4: Simplify right side
    212,749x = 99,175,866,084
  5. Step 5: Solve for x
    x = 99,175,866,084/212,749
  6. Step 6: Final answer
    x = 466,163.72

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.