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Finding the Third Proportional to 182,422.75 and 391,818.25

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Solution

The third proportional to 182,422.75 and 391,818.25 is: 841,570.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,422.75 : 391,818.25 = 391,818.25 : x
  2. Step 2: Convert to fraction form
    182,422.75/391,818.25 = 391,818.25/x
  3. Step 3: Cross multiply
    182,422.75x = 391,818.25 × 391,818.25
  4. Step 4: Simplify right side
    182,422.75x = 153,521,541,033.06
  5. Step 5: Solve for x
    x = 153,521,541,033.06/182,422.75
  6. Step 6: Final answer
    x = 841,570.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.