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Finding the Third Proportional to 228,972 and 336,832

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Solution

The third proportional to 228,972 and 336,832 is: 495,500.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,972 : 336,832 = 336,832 : x
  2. Step 2: Convert to fraction form
    228,972/336,832 = 336,832/x
  3. Step 3: Cross multiply
    228,972x = 336,832 × 336,832
  4. Step 4: Simplify right side
    228,972x = 113,455,796,224
  5. Step 5: Solve for x
    x = 113,455,796,224/228,972
  6. Step 6: Final answer
    x = 495,500.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.