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Finding the Third Proportional to 158,826 and 349,134

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Solution

The third proportional to 158,826 and 349,134 is: 767,472.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,826 : 349,134 = 349,134 : x
  2. Step 2: Convert to fraction form
    158,826/349,134 = 349,134/x
  3. Step 3: Cross multiply
    158,826x = 349,134 × 349,134
  4. Step 4: Simplify right side
    158,826x = 121,894,549,956
  5. Step 5: Solve for x
    x = 121,894,549,956/158,826
  6. Step 6: Final answer
    x = 767,472.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.