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Finding the Third Proportional to 150,534.56 and 206,420.06

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Solution

The third proportional to 150,534.56 and 206,420.06 is: 283,052.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,534.56 : 206,420.06 = 206,420.06 : x
  2. Step 2: Convert to fraction form
    150,534.56/206,420.06 = 206,420.06/x
  3. Step 3: Cross multiply
    150,534.56x = 206,420.06 × 206,420.06
  4. Step 4: Simplify right side
    150,534.56x = 42,609,242,202.50
  5. Step 5: Solve for x
    x = 42,609,242,202.50/150,534.56
  6. Step 6: Final answer
    x = 283,052.88

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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.