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Finding the Third Proportional to 228,908 and 332,953

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Solution

The third proportional to 228,908 and 332,953 is: 484,289.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,908 : 332,953 = 332,953 : x
  2. Step 2: Convert to fraction form
    228,908/332,953 = 332,953/x
  3. Step 3: Cross multiply
    228,908x = 332,953 × 332,953
  4. Step 4: Simplify right side
    228,908x = 110,857,700,209
  5. Step 5: Solve for x
    x = 110,857,700,209/228,908
  6. Step 6: Final answer
    x = 484,289.32

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.