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Finding the Third Proportional to 115,259.25 and 178,000.88

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Solution

The third proportional to 115,259.25 and 178,000.88 is: 274,896.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,259.25 : 178,000.88 = 178,000.88 : x
  2. Step 2: Convert to fraction form
    115,259.25/178,000.88 = 178,000.88/x
  3. Step 3: Cross multiply
    115,259.25x = 178,000.88 × 178,000.88
  4. Step 4: Simplify right side
    115,259.25x = 31,684,311,500.77
  5. Step 5: Solve for x
    x = 31,684,311,500.77/115,259.25
  6. Step 6: Final answer
    x = 274,896.04

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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.