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Finding the Third Proportional to 182,253.80 and 392,446.27

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Solution

The third proportional to 182,253.80 and 392,446.27 is: 845,052.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,253.80 : 392,446.27 = 392,446.27 : x
  2. Step 2: Convert to fraction form
    182,253.80/392,446.27 = 392,446.27/x
  3. Step 3: Cross multiply
    182,253.80x = 392,446.27 × 392,446.27
  4. Step 4: Simplify right side
    182,253.80x = 154,014,071,403.01
  5. Step 5: Solve for x
    x = 154,014,071,403.01/182,253.80
  6. Step 6: Final answer
    x = 845,052.75

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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.