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Finding the Third Proportional to 159,331 and 346,760

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Solution

The third proportional to 159,331 and 346,760 is: 754,671.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,331 : 346,760 = 346,760 : x
  2. Step 2: Convert to fraction form
    159,331/346,760 = 346,760/x
  3. Step 3: Cross multiply
    159,331x = 346,760 × 346,760
  4. Step 4: Simplify right side
    159,331x = 120,242,497,600
  5. Step 5: Solve for x
    x = 120,242,497,600/159,331
  6. Step 6: Final answer
    x = 754,671.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.