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Finding the Third Proportional to 202,230 and 305,853

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Solution

The third proportional to 202,230 and 305,853 is: 462,572.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,230 : 305,853 = 305,853 : x
  2. Step 2: Convert to fraction form
    202,230/305,853 = 305,853/x
  3. Step 3: Cross multiply
    202,230x = 305,853 × 305,853
  4. Step 4: Simplify right side
    202,230x = 93,546,057,609
  5. Step 5: Solve for x
    x = 93,546,057,609/202,230
  6. Step 6: Final answer
    x = 462,572.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.