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Finding the Third Proportional to 159,454 and 346,934

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Solution

The third proportional to 159,454 and 346,934 is: 754,845.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,454 : 346,934 = 346,934 : x
  2. Step 2: Convert to fraction form
    159,454/346,934 = 346,934/x
  3. Step 3: Cross multiply
    159,454x = 346,934 × 346,934
  4. Step 4: Simplify right side
    159,454x = 120,363,200,356
  5. Step 5: Solve for x
    x = 120,363,200,356/159,454
  6. Step 6: Final answer
    x = 754,845.91

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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.