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Finding the Third Proportional to 182,904.96 and 281,490.82

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Solution

The third proportional to 182,904.96 and 281,490.82 is: 433,214.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,904.96 : 281,490.82 = 281,490.82 : x
  2. Step 2: Convert to fraction form
    182,904.96/281,490.82 = 281,490.82/x
  3. Step 3: Cross multiply
    182,904.96x = 281,490.82 × 281,490.82
  4. Step 4: Simplify right side
    182,904.96x = 79,237,081,920.20
  5. Step 5: Solve for x
    x = 79,237,081,920.20/182,904.96
  6. Step 6: Final answer
    x = 433,214.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.