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Finding the Third Proportional to 151,392 and 234,268

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Solution

The third proportional to 151,392 and 234,268 is: 362,512.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,392 : 234,268 = 234,268 : x
  2. Step 2: Convert to fraction form
    151,392/234,268 = 234,268/x
  3. Step 3: Cross multiply
    151,392x = 234,268 × 234,268
  4. Step 4: Simplify right side
    151,392x = 54,881,495,824
  5. Step 5: Solve for x
    x = 54,881,495,824/151,392
  6. Step 6: Final answer
    x = 362,512.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.