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Finding the Third Proportional to 195,216 and 292,055

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Solution

The third proportional to 195,216 and 292,055 is: 436,932.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,216 : 292,055 = 292,055 : x
  2. Step 2: Convert to fraction form
    195,216/292,055 = 292,055/x
  3. Step 3: Cross multiply
    195,216x = 292,055 × 292,055
  4. Step 4: Simplify right side
    195,216x = 85,296,123,025
  5. Step 5: Solve for x
    x = 85,296,123,025/195,216
  6. Step 6: Final answer
    x = 436,932.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.