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Finding the Third Proportional to 114,219.50 and 167,432.25

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Solution

The third proportional to 114,219.50 and 167,432.25 is: 245,435.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,219.50 : 167,432.25 = 167,432.25 : x
  2. Step 2: Convert to fraction form
    114,219.50/167,432.25 = 167,432.25/x
  3. Step 3: Cross multiply
    114,219.50x = 167,432.25 × 167,432.25
  4. Step 4: Simplify right side
    114,219.50x = 28,033,558,340.06
  5. Step 5: Solve for x
    x = 28,033,558,340.06/114,219.50
  6. Step 6: Final answer
    x = 245,435.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.