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Finding the Third Proportional to 246,310.50 and 533,103.50

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Solution

The third proportional to 246,310.50 and 533,103.50 is: 1,153,825.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,310.50 : 533,103.50 = 533,103.50 : x
  2. Step 2: Convert to fraction form
    246,310.50/533,103.50 = 533,103.50/x
  3. Step 3: Cross multiply
    246,310.50x = 533,103.50 × 533,103.50
  4. Step 4: Simplify right side
    246,310.50x = 284,199,341,712.25
  5. Step 5: Solve for x
    x = 284,199,341,712.25/246,310.50
  6. Step 6: Final answer
    x = 1,153,825.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.