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Finding the Third Proportional to 238,016.50 and 515,216

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Solution

The third proportional to 238,016.50 and 515,216 is: 1,115,248.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,016.50 : 515,216 = 515,216 : x
  2. Step 2: Convert to fraction form
    238,016.50/515,216 = 515,216/x
  3. Step 3: Cross multiply
    238,016.50x = 515,216 × 515,216
  4. Step 4: Simplify right side
    238,016.50x = 265,447,526,656
  5. Step 5: Solve for x
    x = 265,447,526,656/238,016.50
  6. Step 6: Final answer
    x = 1,115,248.42

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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.