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Finding the Third Proportional to 146,227.50 and 310,909.50

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Solution

The third proportional to 146,227.50 and 310,909.50 is: 661,057.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,227.50 : 310,909.50 = 310,909.50 : x
  2. Step 2: Convert to fraction form
    146,227.50/310,909.50 = 310,909.50/x
  3. Step 3: Cross multiply
    146,227.50x = 310,909.50 × 310,909.50
  4. Step 4: Simplify right side
    146,227.50x = 96,664,717,190.25
  5. Step 5: Solve for x
    x = 96,664,717,190.25/146,227.50
  6. Step 6: Final answer
    x = 661,057.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.