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Finding the Third Proportional to 115,215.75 and 235,005.84

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Solution

The third proportional to 115,215.75 and 235,005.84 is: 479,341.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,215.75 : 235,005.84 = 235,005.84 : x
  2. Step 2: Convert to fraction form
    115,215.75/235,005.84 = 235,005.84/x
  3. Step 3: Cross multiply
    115,215.75x = 235,005.84 × 235,005.84
  4. Step 4: Simplify right side
    115,215.75x = 55,227,746,596.65
  5. Step 5: Solve for x
    x = 55,227,746,596.65/115,215.75
  6. Step 6: Final answer
    x = 479,341.99

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.