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Finding the Third Proportional to 131,756 and 288,116

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Solution

The third proportional to 131,756 and 288,116 is: 630,034.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,756 : 288,116 = 288,116 : x
  2. Step 2: Convert to fraction form
    131,756/288,116 = 288,116/x
  3. Step 3: Cross multiply
    131,756x = 288,116 × 288,116
  4. Step 4: Simplify right side
    131,756x = 83,010,829,456
  5. Step 5: Solve for x
    x = 83,010,829,456/131,756
  6. Step 6: Final answer
    x = 630,034.53

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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.