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Finding the Third Proportional to 229,486 and 350,802

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Solution

The third proportional to 229,486 and 350,802 is: 536,250.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,486 : 350,802 = 350,802 : x
  2. Step 2: Convert to fraction form
    229,486/350,802 = 350,802/x
  3. Step 3: Cross multiply
    229,486x = 350,802 × 350,802
  4. Step 4: Simplify right side
    229,486x = 123,062,043,204
  5. Step 5: Solve for x
    x = 123,062,043,204/229,486
  6. Step 6: Final answer
    x = 536,250.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.