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Finding the Third Proportional to 240,098 and 515,187

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Solution

The third proportional to 240,098 and 515,187 is: 1,105,455.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,098 : 515,187 = 515,187 : x
  2. Step 2: Convert to fraction form
    240,098/515,187 = 515,187/x
  3. Step 3: Cross multiply
    240,098x = 515,187 × 515,187
  4. Step 4: Simplify right side
    240,098x = 265,417,644,969
  5. Step 5: Solve for x
    x = 265,417,644,969/240,098
  6. Step 6: Final answer
    x = 1,105,455.46

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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.