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Finding the Third Proportional to 63,214 and 146,341

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Solution

The third proportional to 63,214 and 146,341 is: 338,780.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,214 : 146,341 = 146,341 : x
  2. Step 2: Convert to fraction form
    63,214/146,341 = 146,341/x
  3. Step 3: Cross multiply
    63,214x = 146,341 × 146,341
  4. Step 4: Simplify right side
    63,214x = 21,415,688,281
  5. Step 5: Solve for x
    x = 21,415,688,281/63,214
  6. Step 6: Final answer
    x = 338,780.78

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.