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Finding the Third Proportional to 151,323 and 228,118

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Solution

The third proportional to 151,323 and 228,118 is: 343,885.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,323 : 228,118 = 228,118 : x
  2. Step 2: Convert to fraction form
    151,323/228,118 = 228,118/x
  3. Step 3: Cross multiply
    151,323x = 228,118 × 228,118
  4. Step 4: Simplify right side
    151,323x = 52,037,821,924
  5. Step 5: Solve for x
    x = 52,037,821,924/151,323
  6. Step 6: Final answer
    x = 343,885.74

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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.