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Finding the Third Proportional to 162,241 and 346,900

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Solution

The third proportional to 162,241 and 346,900 is: 741,733.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,241 : 346,900 = 346,900 : x
  2. Step 2: Convert to fraction form
    162,241/346,900 = 346,900/x
  3. Step 3: Cross multiply
    162,241x = 346,900 × 346,900
  4. Step 4: Simplify right side
    162,241x = 120,339,610,000
  5. Step 5: Solve for x
    x = 120,339,610,000/162,241
  6. Step 6: Final answer
    x = 741,733.66

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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.