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Finding the Third Proportional to 117,074.25 and 248,726.25

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Solution

The third proportional to 117,074.25 and 248,726.25 is: 528,423.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,074.25 : 248,726.25 = 248,726.25 : x
  2. Step 2: Convert to fraction form
    117,074.25/248,726.25 = 248,726.25/x
  3. Step 3: Cross multiply
    117,074.25x = 248,726.25 × 248,726.25
  4. Step 4: Simplify right side
    117,074.25x = 61,864,747,439.06
  5. Step 5: Solve for x
    x = 61,864,747,439.06/117,074.25
  6. Step 6: Final answer
    x = 528,423.18

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.