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Finding the Third Proportional to 228,766 and 344,832

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Solution

The third proportional to 228,766 and 344,832 is: 519,784.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,766 : 344,832 = 344,832 : x
  2. Step 2: Convert to fraction form
    228,766/344,832 = 344,832/x
  3. Step 3: Cross multiply
    228,766x = 344,832 × 344,832
  4. Step 4: Simplify right side
    228,766x = 118,909,108,224
  5. Step 5: Solve for x
    x = 118,909,108,224/228,766
  6. Step 6: Final answer
    x = 519,784.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.