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Finding the Third Proportional to 233,982 and 361,998

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Solution

The third proportional to 233,982 and 361,998 is: 560,053.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,982 : 361,998 = 361,998 : x
  2. Step 2: Convert to fraction form
    233,982/361,998 = 361,998/x
  3. Step 3: Cross multiply
    233,982x = 361,998 × 361,998
  4. Step 4: Simplify right side
    233,982x = 131,042,552,004
  5. Step 5: Solve for x
    x = 131,042,552,004/233,982
  6. Step 6: Final answer
    x = 560,053.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.