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Finding the Third Proportional to 132,958.13 and 197,349.75

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Solution

The third proportional to 132,958.13 and 197,349.75 is: 292,926.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,958.13 : 197,349.75 = 197,349.75 : x
  2. Step 2: Convert to fraction form
    132,958.13/197,349.75 = 197,349.75/x
  3. Step 3: Cross multiply
    132,958.13x = 197,349.75 × 197,349.75
  4. Step 4: Simplify right side
    132,958.13x = 38,946,923,825.06
  5. Step 5: Solve for x
    x = 38,946,923,825.06/132,958.13
  6. Step 6: Final answer
    x = 292,926.24

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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.