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Finding the Third Proportional to 228,976 and 308,472

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Solution

The third proportional to 228,976 and 308,472 is: 415,567.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,976 : 308,472 = 308,472 : x
  2. Step 2: Convert to fraction form
    228,976/308,472 = 308,472/x
  3. Step 3: Cross multiply
    228,976x = 308,472 × 308,472
  4. Step 4: Simplify right side
    228,976x = 95,154,974,784
  5. Step 5: Solve for x
    x = 95,154,974,784/228,976
  6. Step 6: Final answer
    x = 415,567.46

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.