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Finding the Third Proportional to 178,822.75 and 250,656.75

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Solution

The third proportional to 178,822.75 and 250,656.75 is: 351,346.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,822.75 : 250,656.75 = 250,656.75 : x
  2. Step 2: Convert to fraction form
    178,822.75/250,656.75 = 250,656.75/x
  3. Step 3: Cross multiply
    178,822.75x = 250,656.75 × 250,656.75
  4. Step 4: Simplify right side
    178,822.75x = 62,828,806,320.56
  5. Step 5: Solve for x
    x = 62,828,806,320.56/178,822.75
  6. Step 6: Final answer
    x = 351,346.83

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.