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Finding the Third Proportional to 157,991 and 350,974

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Solution

The third proportional to 157,991 and 350,974 is: 779,682.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,991 : 350,974 = 350,974 : x
  2. Step 2: Convert to fraction form
    157,991/350,974 = 350,974/x
  3. Step 3: Cross multiply
    157,991x = 350,974 × 350,974
  4. Step 4: Simplify right side
    157,991x = 123,182,748,676
  5. Step 5: Solve for x
    x = 123,182,748,676/157,991
  6. Step 6: Final answer
    x = 779,682.06

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.