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Finding the Third Proportional to 159,089 and 351,298

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Solution

The third proportional to 159,089 and 351,298 is: 775,731.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,089 : 351,298 = 351,298 : x
  2. Step 2: Convert to fraction form
    159,089/351,298 = 351,298/x
  3. Step 3: Cross multiply
    159,089x = 351,298 × 351,298
  4. Step 4: Simplify right side
    159,089x = 123,410,284,804
  5. Step 5: Solve for x
    x = 123,410,284,804/159,089
  6. Step 6: Final answer
    x = 775,731.10

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.