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Finding the Third Proportional to 178,422.75 and 260,935.88

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Solution

The third proportional to 178,422.75 and 260,935.88 is: 381,607.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,422.75 : 260,935.88 = 260,935.88 : x
  2. Step 2: Convert to fraction form
    178,422.75/260,935.88 = 260,935.88/x
  3. Step 3: Cross multiply
    178,422.75x = 260,935.88 × 260,935.88
  4. Step 4: Simplify right side
    178,422.75x = 68,087,530,862.02
  5. Step 5: Solve for x
    x = 68,087,530,862.02/178,422.75
  6. Step 6: Final answer
    x = 381,607.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.