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Finding the Third Proportional to 154,866.75 and 236,743.13

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Solution

The third proportional to 154,866.75 and 236,743.13 is: 361,906.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,866.75 : 236,743.13 = 236,743.13 : x
  2. Step 2: Convert to fraction form
    154,866.75/236,743.13 = 236,743.13/x
  3. Step 3: Cross multiply
    154,866.75x = 236,743.13 × 236,743.13
  4. Step 4: Simplify right side
    154,866.75x = 56,047,307,234.77
  5. Step 5: Solve for x
    x = 56,047,307,234.77/154,866.75
  6. Step 6: Final answer
    x = 361,906.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.