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Finding the Third Proportional to 132,957 and 197,346

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Solution

The third proportional to 132,957 and 197,346 is: 292,917.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,957 : 197,346 = 197,346 : x
  2. Step 2: Convert to fraction form
    132,957/197,346 = 197,346/x
  3. Step 3: Cross multiply
    132,957x = 197,346 × 197,346
  4. Step 4: Simplify right side
    132,957x = 38,945,443,716
  5. Step 5: Solve for x
    x = 38,945,443,716/132,957
  6. Step 6: Final answer
    x = 292,917.59

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.