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Finding the Third Proportional to 218,306 and 326,111

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Solution

The third proportional to 218,306 and 326,111 is: 487,152.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,306 : 326,111 = 326,111 : x
  2. Step 2: Convert to fraction form
    218,306/326,111 = 326,111/x
  3. Step 3: Cross multiply
    218,306x = 326,111 × 326,111
  4. Step 4: Simplify right side
    218,306x = 106,348,384,321
  5. Step 5: Solve for x
    x = 106,348,384,321/218,306
  6. Step 6: Final answer
    x = 487,152.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.