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Finding the Third Proportional to 246,143.50 and 537,845

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Solution

The third proportional to 246,143.50 and 537,845 is: 1,175,238.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,143.50 : 537,845 = 537,845 : x
  2. Step 2: Convert to fraction form
    246,143.50/537,845 = 537,845/x
  3. Step 3: Cross multiply
    246,143.50x = 537,845 × 537,845
  4. Step 4: Simplify right side
    246,143.50x = 289,277,244,025
  5. Step 5: Solve for x
    x = 289,277,244,025/246,143.50
  6. Step 6: Final answer
    x = 1,175,238.20

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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.