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Finding the Third Proportional to 159,146 and 351,412

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Solution

The third proportional to 159,146 and 351,412 is: 775,956.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,146 : 351,412 = 351,412 : x
  2. Step 2: Convert to fraction form
    159,146/351,412 = 351,412/x
  3. Step 3: Cross multiply
    159,146x = 351,412 × 351,412
  4. Step 4: Simplify right side
    159,146x = 123,490,393,744
  5. Step 5: Solve for x
    x = 123,490,393,744/159,146
  6. Step 6: Final answer
    x = 775,956.63

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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.