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Finding the Third Proportional to 195,022 and 291,257

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Solution

The third proportional to 195,022 and 291,257 is: 434,979.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,022 : 291,257 = 291,257 : x
  2. Step 2: Convert to fraction form
    195,022/291,257 = 291,257/x
  3. Step 3: Cross multiply
    195,022x = 291,257 × 291,257
  4. Step 4: Simplify right side
    195,022x = 84,830,640,049
  5. Step 5: Solve for x
    x = 84,830,640,049/195,022
  6. Step 6: Final answer
    x = 434,979.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.