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Finding the Third Proportional to 246,305.25 and 531,085.50

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Solution

The third proportional to 246,305.25 and 531,085.50 is: 1,145,131.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,305.25 : 531,085.50 = 531,085.50 : x
  2. Step 2: Convert to fraction form
    246,305.25/531,085.50 = 531,085.50/x
  3. Step 3: Cross multiply
    246,305.25x = 531,085.50 × 531,085.50
  4. Step 4: Simplify right side
    246,305.25x = 282,051,808,310.25
  5. Step 5: Solve for x
    x = 282,051,808,310.25/246,305.25
  6. Step 6: Final answer
    x = 1,145,131.13

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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.