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Finding the Third Proportional to 103,358 and 227,668

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Solution

The third proportional to 103,358 and 227,668 is: 501,487.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,358 : 227,668 = 227,668 : x
  2. Step 2: Convert to fraction form
    103,358/227,668 = 227,668/x
  3. Step 3: Cross multiply
    103,358x = 227,668 × 227,668
  4. Step 4: Simplify right side
    103,358x = 51,832,718,224
  5. Step 5: Solve for x
    x = 51,832,718,224/103,358
  6. Step 6: Final answer
    x = 501,487.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.