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Finding the Third Proportional to 195,134 and 285,243

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Solution

The third proportional to 195,134 and 285,243 is: 416,962.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,134 : 285,243 = 285,243 : x
  2. Step 2: Convert to fraction form
    195,134/285,243 = 285,243/x
  3. Step 3: Cross multiply
    195,134x = 285,243 × 285,243
  4. Step 4: Simplify right side
    195,134x = 81,363,569,049
  5. Step 5: Solve for x
    x = 81,363,569,049/195,134
  6. Step 6: Final answer
    x = 416,962.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.