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Finding the Third Proportional to 159,135 and 346,674

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Solution

The third proportional to 159,135 and 346,674 is: 755,225.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,135 : 346,674 = 346,674 : x
  2. Step 2: Convert to fraction form
    159,135/346,674 = 346,674/x
  3. Step 3: Cross multiply
    159,135x = 346,674 × 346,674
  4. Step 4: Simplify right side
    159,135x = 120,182,862,276
  5. Step 5: Solve for x
    x = 120,182,862,276/159,135
  6. Step 6: Final answer
    x = 755,225.83

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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.