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Finding the Third Proportional to 195,129 and 285,282

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Solution

The third proportional to 195,129 and 285,282 is: 417,087.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,129 : 285,282 = 285,282 : x
  2. Step 2: Convert to fraction form
    195,129/285,282 = 285,282/x
  3. Step 3: Cross multiply
    195,129x = 285,282 × 285,282
  4. Step 4: Simplify right side
    195,129x = 81,385,819,524
  5. Step 5: Solve for x
    x = 81,385,819,524/195,129
  6. Step 6: Final answer
    x = 417,087.26

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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.