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Finding the Third Proportional to 136,077 and 288,624

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Solution

The third proportional to 136,077 and 288,624 is: 612,181.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,077 : 288,624 = 288,624 : x
  2. Step 2: Convert to fraction form
    136,077/288,624 = 288,624/x
  3. Step 3: Cross multiply
    136,077x = 288,624 × 288,624
  4. Step 4: Simplify right side
    136,077x = 83,303,813,376
  5. Step 5: Solve for x
    x = 83,303,813,376/136,077
  6. Step 6: Final answer
    x = 612,181.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.