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Finding the Third Proportional to 229,363 and 299,734

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Solution

The third proportional to 229,363 and 299,734 is: 391,695.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,363 : 299,734 = 299,734 : x
  2. Step 2: Convert to fraction form
    229,363/299,734 = 299,734/x
  3. Step 3: Cross multiply
    229,363x = 299,734 × 299,734
  4. Step 4: Simplify right side
    229,363x = 89,840,470,756
  5. Step 5: Solve for x
    x = 89,840,470,756/229,363
  6. Step 6: Final answer
    x = 391,695.57

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.