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Finding the Third Proportional to 162,216 and 346,850

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Solution

The third proportional to 162,216 and 346,850 is: 741,634.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,216 : 346,850 = 346,850 : x
  2. Step 2: Convert to fraction form
    162,216/346,850 = 346,850/x
  3. Step 3: Cross multiply
    162,216x = 346,850 × 346,850
  4. Step 4: Simplify right side
    162,216x = 120,304,922,500
  5. Step 5: Solve for x
    x = 120,304,922,500/162,216
  6. Step 6: Final answer
    x = 741,634.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.