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Finding the Third Proportional to 98,678.25 and 238,605.75

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Solution

The third proportional to 98,678.25 and 238,605.75 is: 576,952.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,678.25 : 238,605.75 = 238,605.75 : x
  2. Step 2: Convert to fraction form
    98,678.25/238,605.75 = 238,605.75/x
  3. Step 3: Cross multiply
    98,678.25x = 238,605.75 × 238,605.75
  4. Step 4: Simplify right side
    98,678.25x = 56,932,703,933.06
  5. Step 5: Solve for x
    x = 56,932,703,933.06/98,678.25
  6. Step 6: Final answer
    x = 576,952.91

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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.