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Finding the Third Proportional to 245,085.75 and 534,525.75

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Solution

The third proportional to 245,085.75 and 534,525.75 is: 1,165,786.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,085.75 : 534,525.75 = 534,525.75 : x
  2. Step 2: Convert to fraction form
    245,085.75/534,525.75 = 534,525.75/x
  3. Step 3: Cross multiply
    245,085.75x = 534,525.75 × 534,525.75
  4. Step 4: Simplify right side
    245,085.75x = 285,717,777,413.06
  5. Step 5: Solve for x
    x = 285,717,777,413.06/245,085.75
  6. Step 6: Final answer
    x = 1,165,786.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.