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Finding the Third Proportional to 193,032 and 296,856

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Solution

The third proportional to 193,032 and 296,856 is: 456,522.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,032 : 296,856 = 296,856 : x
  2. Step 2: Convert to fraction form
    193,032/296,856 = 296,856/x
  3. Step 3: Cross multiply
    193,032x = 296,856 × 296,856
  4. Step 4: Simplify right side
    193,032x = 88,123,484,736
  5. Step 5: Solve for x
    x = 88,123,484,736/193,032
  6. Step 6: Final answer
    x = 456,522.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.