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Finding the Third Proportional to 132,842 and 200,235

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Solution

The third proportional to 132,842 and 200,235 is: 301,817.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,842 : 200,235 = 200,235 : x
  2. Step 2: Convert to fraction form
    132,842/200,235 = 200,235/x
  3. Step 3: Cross multiply
    132,842x = 200,235 × 200,235
  4. Step 4: Simplify right side
    132,842x = 40,094,055,225
  5. Step 5: Solve for x
    x = 40,094,055,225/132,842
  6. Step 6: Final answer
    x = 301,817.61

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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.