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Finding the Third Proportional to 119,096 and 260,512

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Solution

The third proportional to 119,096 and 260,512 is: 569,847.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,096 : 260,512 = 260,512 : x
  2. Step 2: Convert to fraction form
    119,096/260,512 = 260,512/x
  3. Step 3: Cross multiply
    119,096x = 260,512 × 260,512
  4. Step 4: Simplify right side
    119,096x = 67,866,502,144
  5. Step 5: Solve for x
    x = 67,866,502,144/119,096
  6. Step 6: Final answer
    x = 569,847.03

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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.