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Finding the Third Proportional to 148,947 and 319,214

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Solution

The third proportional to 148,947 and 319,214 is: 684,119.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,947 : 319,214 = 319,214 : x
  2. Step 2: Convert to fraction form
    148,947/319,214 = 319,214/x
  3. Step 3: Cross multiply
    148,947x = 319,214 × 319,214
  4. Step 4: Simplify right side
    148,947x = 101,897,577,796
  5. Step 5: Solve for x
    x = 101,897,577,796/148,947
  6. Step 6: Final answer
    x = 684,119.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.