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Finding the Third Proportional to 88,224 and 183,922

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Solution

The third proportional to 88,224 and 183,922 is: 383,425.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,224 : 183,922 = 183,922 : x
  2. Step 2: Convert to fraction form
    88,224/183,922 = 183,922/x
  3. Step 3: Cross multiply
    88,224x = 183,922 × 183,922
  4. Step 4: Simplify right side
    88,224x = 33,827,302,084
  5. Step 5: Solve for x
    x = 33,827,302,084/88,224
  6. Step 6: Final answer
    x = 383,425.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.