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Finding the Third Proportional to 150,534.75 and 206,416.50

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Solution

The third proportional to 150,534.75 and 206,416.50 is: 283,042.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,534.75 : 206,416.50 = 206,416.50 : x
  2. Step 2: Convert to fraction form
    150,534.75/206,416.50 = 206,416.50/x
  3. Step 3: Cross multiply
    150,534.75x = 206,416.50 × 206,416.50
  4. Step 4: Simplify right side
    150,534.75x = 42,607,771,472.25
  5. Step 5: Solve for x
    x = 42,607,771,472.25/150,534.75
  6. Step 6: Final answer
    x = 283,042.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.