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Finding the Third Proportional to 182,256.25 and 392,451.75

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Solution

The third proportional to 182,256.25 and 392,451.75 is: 845,064.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,256.25 : 392,451.75 = 392,451.75 : x
  2. Step 2: Convert to fraction form
    182,256.25/392,451.75 = 392,451.75/x
  3. Step 3: Cross multiply
    182,256.25x = 392,451.75 × 392,451.75
  4. Step 4: Simplify right side
    182,256.25x = 154,018,376,078.06
  5. Step 5: Solve for x
    x = 154,018,376,078.06/182,256.25
  6. Step 6: Final answer
    x = 845,064.99

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