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Finding the Third Proportional to 131,282 and 288,094

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Solution

The third proportional to 131,282 and 288,094 is: 632,212.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,282 : 288,094 = 288,094 : x
  2. Step 2: Convert to fraction form
    131,282/288,094 = 288,094/x
  3. Step 3: Cross multiply
    131,282x = 288,094 × 288,094
  4. Step 4: Simplify right side
    131,282x = 82,998,152,836
  5. Step 5: Solve for x
    x = 82,998,152,836/131,282
  6. Step 6: Final answer
    x = 632,212.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.