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Finding the Third Proportional to 162,879 and 350,382

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Solution

The third proportional to 162,879 and 350,382 is: 753,734.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,879 : 350,382 = 350,382 : x
  2. Step 2: Convert to fraction form
    162,879/350,382 = 350,382/x
  3. Step 3: Cross multiply
    162,879x = 350,382 × 350,382
  4. Step 4: Simplify right side
    162,879x = 122,767,545,924
  5. Step 5: Solve for x
    x = 122,767,545,924/162,879
  6. Step 6: Final answer
    x = 753,734.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.