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Finding the Third Proportional to 182,257.88 and 392,455.13

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Solution

The third proportional to 182,257.88 and 392,455.13 is: 845,071.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,257.88 : 392,455.13 = 392,455.13 : x
  2. Step 2: Convert to fraction form
    182,257.88/392,455.13 = 392,455.13/x
  3. Step 3: Cross multiply
    182,257.88x = 392,455.13 × 392,455.13
  4. Step 4: Simplify right side
    182,257.88x = 154,021,025,138.77
  5. Step 5: Solve for x
    x = 154,021,025,138.77/182,257.88
  6. Step 6: Final answer
    x = 845,071.99

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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.