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Finding the Third Proportional to 162,232 and 346,882

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Solution

The third proportional to 162,232 and 346,882 is: 741,697.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,232 : 346,882 = 346,882 : x
  2. Step 2: Convert to fraction form
    162,232/346,882 = 346,882/x
  3. Step 3: Cross multiply
    162,232x = 346,882 × 346,882
  4. Step 4: Simplify right side
    162,232x = 120,327,121,924
  5. Step 5: Solve for x
    x = 120,327,121,924/162,232
  6. Step 6: Final answer
    x = 741,697.83

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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.