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Finding the Third Proportional to 207,983.81 and 425,824.31

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Solution

The third proportional to 207,983.81 and 425,824.31 is: 871,829.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,983.81 : 425,824.31 = 425,824.31 : x
  2. Step 2: Convert to fraction form
    207,983.81/425,824.31 = 425,824.31/x
  3. Step 3: Cross multiply
    207,983.81x = 425,824.31 × 425,824.31
  4. Step 4: Simplify right side
    207,983.81x = 181,326,345,116.10
  5. Step 5: Solve for x
    x = 181,326,345,116.10/207,983.81
  6. Step 6: Final answer
    x = 871,829.12

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