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Finding the Third Proportional to 158,982.75 and 221,464.13

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Solution

The third proportional to 158,982.75 and 221,464.13 is: 308,501.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,982.75 : 221,464.13 = 221,464.13 : x
  2. Step 2: Convert to fraction form
    158,982.75/221,464.13 = 221,464.13/x
  3. Step 3: Cross multiply
    158,982.75x = 221,464.13 × 221,464.13
  4. Step 4: Simplify right side
    158,982.75x = 49,046,358,662.02
  5. Step 5: Solve for x
    x = 49,046,358,662.02/158,982.75
  6. Step 6: Final answer
    x = 308,501.13

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.