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Finding the Third Proportional to 246,775 and 371,986.50

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Solution

The third proportional to 246,775 and 371,986.50 is: 560,729.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,775 : 371,986.50 = 371,986.50 : x
  2. Step 2: Convert to fraction form
    246,775/371,986.50 = 371,986.50/x
  3. Step 3: Cross multiply
    246,775x = 371,986.50 × 371,986.50
  4. Step 4: Simplify right side
    246,775x = 138,373,956,182.25
  5. Step 5: Solve for x
    x = 138,373,956,182.25/246,775
  6. Step 6: Final answer
    x = 560,729.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.