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Finding the Third Proportional to 182,158.88 and 288,000.56

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Solution

The third proportional to 182,158.88 and 288,000.56 is: 455,340.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,158.88 : 288,000.56 = 288,000.56 : x
  2. Step 2: Convert to fraction form
    182,158.88/288,000.56 = 288,000.56/x
  3. Step 3: Cross multiply
    182,158.88x = 288,000.56 × 288,000.56
  4. Step 4: Simplify right side
    182,158.88x = 82,944,324,000.32
  5. Step 5: Solve for x
    x = 82,944,324,000.32/182,158.88
  6. Step 6: Final answer
    x = 455,340.56

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.