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Finding the Third Proportional to 115,016.50 and 251,356

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Solution

The third proportional to 115,016.50 and 251,356 is: 549,311.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,016.50 : 251,356 = 251,356 : x
  2. Step 2: Convert to fraction form
    115,016.50/251,356 = 251,356/x
  3. Step 3: Cross multiply
    115,016.50x = 251,356 × 251,356
  4. Step 4: Simplify right side
    115,016.50x = 63,179,838,736
  5. Step 5: Solve for x
    x = 63,179,838,736/115,016.50
  6. Step 6: Final answer
    x = 549,311.09

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.