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Finding the Third Proportional to 240,097 and 515,185

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Solution

The third proportional to 240,097 and 515,185 is: 1,105,451.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,097 : 515,185 = 515,185 : x
  2. Step 2: Convert to fraction form
    240,097/515,185 = 515,185/x
  3. Step 3: Cross multiply
    240,097x = 515,185 × 515,185
  4. Step 4: Simplify right side
    240,097x = 265,415,584,225
  5. Step 5: Solve for x
    x = 265,415,584,225/240,097
  6. Step 6: Final answer
    x = 1,105,451.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.