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Finding the Third Proportional to 233,098 and 515,205

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Solution

The third proportional to 233,098 and 515,205 is: 1,138,732.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,098 : 515,205 = 515,205 : x
  2. Step 2: Convert to fraction form
    233,098/515,205 = 515,205/x
  3. Step 3: Cross multiply
    233,098x = 515,205 × 515,205
  4. Step 4: Simplify right side
    233,098x = 265,436,192,025
  5. Step 5: Solve for x
    x = 265,436,192,025/233,098
  6. Step 6: Final answer
    x = 1,138,732.17

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.