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Finding the Third Proportional to 86,280.38 and 176,742.75

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Solution

The third proportional to 86,280.38 and 176,742.75 is: 362,052.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,280.38 : 176,742.75 = 176,742.75 : x
  2. Step 2: Convert to fraction form
    86,280.38/176,742.75 = 176,742.75/x
  3. Step 3: Cross multiply
    86,280.38x = 176,742.75 × 176,742.75
  4. Step 4: Simplify right side
    86,280.38x = 31,237,999,677.56
  5. Step 5: Solve for x
    x = 31,237,999,677.56/86,280.38
  6. Step 6: Final answer
    x = 362,052.20

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.