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Finding the Third Proportional to 150,616.50 and 313,719

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Solution

The third proportional to 150,616.50 and 313,719 is: 653,445.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,616.50 : 313,719 = 313,719 : x
  2. Step 2: Convert to fraction form
    150,616.50/313,719 = 313,719/x
  3. Step 3: Cross multiply
    150,616.50x = 313,719 × 313,719
  4. Step 4: Simplify right side
    150,616.50x = 98,419,610,961
  5. Step 5: Solve for x
    x = 98,419,610,961/150,616.50
  6. Step 6: Final answer
    x = 653,445.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.