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Finding the Third Proportional to 229,734 and 335,691

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Solution

The third proportional to 229,734 and 335,691 is: 490,517.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,734 : 335,691 = 335,691 : x
  2. Step 2: Convert to fraction form
    229,734/335,691 = 335,691/x
  3. Step 3: Cross multiply
    229,734x = 335,691 × 335,691
  4. Step 4: Simplify right side
    229,734x = 112,688,447,481
  5. Step 5: Solve for x
    x = 112,688,447,481/229,734
  6. Step 6: Final answer
    x = 490,517.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.