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Finding the Third Proportional to 207,986.50 and 425,829

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Solution

The third proportional to 207,986.50 and 425,829 is: 871,837.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,986.50 : 425,829 = 425,829 : x
  2. Step 2: Convert to fraction form
    207,986.50/425,829 = 425,829/x
  3. Step 3: Cross multiply
    207,986.50x = 425,829 × 425,829
  4. Step 4: Simplify right side
    207,986.50x = 181,330,337,241
  5. Step 5: Solve for x
    x = 181,330,337,241/207,986.50
  6. Step 6: Final answer
    x = 871,837.05

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.