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Finding the Third Proportional to 228,237 and 333,904

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Solution

The third proportional to 228,237 and 333,904 is: 488,491.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,237 : 333,904 = 333,904 : x
  2. Step 2: Convert to fraction form
    228,237/333,904 = 333,904/x
  3. Step 3: Cross multiply
    228,237x = 333,904 × 333,904
  4. Step 4: Simplify right side
    228,237x = 111,491,881,216
  5. Step 5: Solve for x
    x = 111,491,881,216/228,237
  6. Step 6: Final answer
    x = 488,491.70

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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.