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Finding the Third Proportional to 246,142.50 and 537,843

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Solution

The third proportional to 246,142.50 and 537,843 is: 1,175,234.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,142.50 : 537,843 = 537,843 : x
  2. Step 2: Convert to fraction form
    246,142.50/537,843 = 537,843/x
  3. Step 3: Cross multiply
    246,142.50x = 537,843 × 537,843
  4. Step 4: Simplify right side
    246,142.50x = 289,275,092,649
  5. Step 5: Solve for x
    x = 289,275,092,649/246,142.50
  6. Step 6: Final answer
    x = 1,175,234.23

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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.