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Finding the Third Proportional to 100,407 and 150,622.50

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Solution

The third proportional to 100,407 and 150,622.50 is: 225,951.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,407 : 150,622.50 = 150,622.50 : x
  2. Step 2: Convert to fraction form
    100,407/150,622.50 = 150,622.50/x
  3. Step 3: Cross multiply
    100,407x = 150,622.50 × 150,622.50
  4. Step 4: Simplify right side
    100,407x = 22,687,137,506.25
  5. Step 5: Solve for x
    x = 22,687,137,506.25/100,407
  6. Step 6: Final answer
    x = 225,951.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.