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Finding the Third Proportional to 246,498 and 380,190

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Solution

The third proportional to 246,498 and 380,190 is: 586,391.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,498 : 380,190 = 380,190 : x
  2. Step 2: Convert to fraction form
    246,498/380,190 = 380,190/x
  3. Step 3: Cross multiply
    246,498x = 380,190 × 380,190
  4. Step 4: Simplify right side
    246,498x = 144,544,436,100
  5. Step 5: Solve for x
    x = 144,544,436,100/246,498
  6. Step 6: Final answer
    x = 586,391.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.