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Finding the Third Proportional to 141,864 and 214,488

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Solution

The third proportional to 141,864 and 214,488 is: 324,290.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,864 : 214,488 = 214,488 : x
  2. Step 2: Convert to fraction form
    141,864/214,488 = 214,488/x
  3. Step 3: Cross multiply
    141,864x = 214,488 × 214,488
  4. Step 4: Simplify right side
    141,864x = 46,005,102,144
  5. Step 5: Solve for x
    x = 46,005,102,144/141,864
  6. Step 6: Final answer
    x = 324,290.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.