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Finding the Third Proportional to 132,383 and 202,038

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Solution

The third proportional to 132,383 and 202,038 is: 308,342.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,383 : 202,038 = 202,038 : x
  2. Step 2: Convert to fraction form
    132,383/202,038 = 202,038/x
  3. Step 3: Cross multiply
    132,383x = 202,038 × 202,038
  4. Step 4: Simplify right side
    132,383x = 40,819,353,444
  5. Step 5: Solve for x
    x = 40,819,353,444/132,383
  6. Step 6: Final answer
    x = 308,342.86

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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.