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Finding the Third Proportional to 226,712 and 352,668

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Solution

The third proportional to 226,712 and 352,668 is: 548,602.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,712 : 352,668 = 352,668 : x
  2. Step 2: Convert to fraction form
    226,712/352,668 = 352,668/x
  3. Step 3: Cross multiply
    226,712x = 352,668 × 352,668
  4. Step 4: Simplify right side
    226,712x = 124,374,718,224
  5. Step 5: Solve for x
    x = 124,374,718,224/226,712
  6. Step 6: Final answer
    x = 548,602.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.