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Finding the Third Proportional to 207,968 and 425,788

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Solution

The third proportional to 207,968 and 425,788 is: 871,746.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,968 : 425,788 = 425,788 : x
  2. Step 2: Convert to fraction form
    207,968/425,788 = 425,788/x
  3. Step 3: Cross multiply
    207,968x = 425,788 × 425,788
  4. Step 4: Simplify right side
    207,968x = 181,295,420,944
  5. Step 5: Solve for x
    x = 181,295,420,944/207,968
  6. Step 6: Final answer
    x = 871,746.72

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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.