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Finding the Third Proportional to 179,583.75 and 261,478.13

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Solution

The third proportional to 179,583.75 and 261,478.13 is: 380,718.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,583.75 : 261,478.13 = 261,478.13 : x
  2. Step 2: Convert to fraction form
    179,583.75/261,478.13 = 261,478.13/x
  3. Step 3: Cross multiply
    179,583.75x = 261,478.13 × 261,478.13
  4. Step 4: Simplify right side
    179,583.75x = 68,370,809,853.52
  5. Step 5: Solve for x
    x = 68,370,809,853.52/179,583.75
  6. Step 6: Final answer
    x = 380,718.24

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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.