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Finding the Third Proportional to 193,032 and 295,289

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Solution

The third proportional to 193,032 and 295,289 is: 451,715.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,032 : 295,289 = 295,289 : x
  2. Step 2: Convert to fraction form
    193,032/295,289 = 295,289/x
  3. Step 3: Cross multiply
    193,032x = 295,289 × 295,289
  4. Step 4: Simplify right side
    193,032x = 87,195,593,521
  5. Step 5: Solve for x
    x = 87,195,593,521/193,032
  6. Step 6: Final answer
    x = 451,715.74

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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.