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Finding the Third Proportional to 130,302 and 203,241

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Solution

The third proportional to 130,302 and 203,241 is: 317,008.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,302 : 203,241 = 203,241 : x
  2. Step 2: Convert to fraction form
    130,302/203,241 = 203,241/x
  3. Step 3: Cross multiply
    130,302x = 203,241 × 203,241
  4. Step 4: Simplify right side
    130,302x = 41,306,904,081
  5. Step 5: Solve for x
    x = 41,306,904,081/130,302
  6. Step 6: Final answer
    x = 317,008.98

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.