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Finding the Third Proportional to 226,706 and 352,659

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Solution

The third proportional to 226,706 and 352,659 is: 548,588.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,706 : 352,659 = 352,659 : x
  2. Step 2: Convert to fraction form
    226,706/352,659 = 352,659/x
  3. Step 3: Cross multiply
    226,706x = 352,659 × 352,659
  4. Step 4: Simplify right side
    226,706x = 124,368,370,281
  5. Step 5: Solve for x
    x = 124,368,370,281/226,706
  6. Step 6: Final answer
    x = 548,588.79

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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.