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Finding the Third Proportional to 179,598.38 and 261,500.06

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Solution

The third proportional to 179,598.38 and 261,500.06 is: 380,751.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,598.38 : 261,500.06 = 261,500.06 : x
  2. Step 2: Convert to fraction form
    179,598.38/261,500.06 = 261,500.06/x
  3. Step 3: Cross multiply
    179,598.38x = 261,500.06 × 261,500.06
  4. Step 4: Simplify right side
    179,598.38x = 68,382,282,687.50
  5. Step 5: Solve for x
    x = 68,382,282,687.50/179,598.38
  6. Step 6: Final answer
    x = 380,751.12

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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.