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Finding the Third Proportional to 195,042 and 291,287

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Solution

The third proportional to 195,042 and 291,287 is: 435,024.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,042 : 291,287 = 291,287 : x
  2. Step 2: Convert to fraction form
    195,042/291,287 = 291,287/x
  3. Step 3: Cross multiply
    195,042x = 291,287 × 291,287
  4. Step 4: Simplify right side
    195,042x = 84,848,116,369
  5. Step 5: Solve for x
    x = 84,848,116,369/195,042
  6. Step 6: Final answer
    x = 435,024.85

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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.