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Finding the Third Proportional to 98,998 and 239,252

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Solution

The third proportional to 98,998 and 239,252 is: 578,208.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,998 : 239,252 = 239,252 : x
  2. Step 2: Convert to fraction form
    98,998/239,252 = 239,252/x
  3. Step 3: Cross multiply
    98,998x = 239,252 × 239,252
  4. Step 4: Simplify right side
    98,998x = 57,241,519,504
  5. Step 5: Solve for x
    x = 57,241,519,504/98,998
  6. Step 6: Final answer
    x = 578,208.85

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.