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Finding the Third Proportional to 151,348 and 228,174

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Solution

The third proportional to 151,348 and 228,174 is: 343,997.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,348 : 228,174 = 228,174 : x
  2. Step 2: Convert to fraction form
    151,348/228,174 = 228,174/x
  3. Step 3: Cross multiply
    151,348x = 228,174 × 228,174
  4. Step 4: Simplify right side
    151,348x = 52,063,374,276
  5. Step 5: Solve for x
    x = 52,063,374,276/151,348
  6. Step 6: Final answer
    x = 343,997.77

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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.