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Finding the Third Proportional to 90,248 and 186,224

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Solution

The third proportional to 90,248 and 186,224 is: 384,267.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,248 : 186,224 = 186,224 : x
  2. Step 2: Convert to fraction form
    90,248/186,224 = 186,224/x
  3. Step 3: Cross multiply
    90,248x = 186,224 × 186,224
  4. Step 4: Simplify right side
    90,248x = 34,679,378,176
  5. Step 5: Solve for x
    x = 34,679,378,176/90,248
  6. Step 6: Final answer
    x = 384,267.55

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.