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Finding the Third Proportional to 162,634.50 and 250,287.75

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Solution

The third proportional to 162,634.50 and 250,287.75 is: 385,182.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,634.50 : 250,287.75 = 250,287.75 : x
  2. Step 2: Convert to fraction form
    162,634.50/250,287.75 = 250,287.75/x
  3. Step 3: Cross multiply
    162,634.50x = 250,287.75 × 250,287.75
  4. Step 4: Simplify right side
    162,634.50x = 62,643,957,800.06
  5. Step 5: Solve for x
    x = 62,643,957,800.06/162,634.50
  6. Step 6: Final answer
    x = 385,182.47

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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.