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Finding the Third Proportional to 151,376 and 229,168

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Solution

The third proportional to 151,376 and 229,168 is: 346,937.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,376 : 229,168 = 229,168 : x
  2. Step 2: Convert to fraction form
    151,376/229,168 = 229,168/x
  3. Step 3: Cross multiply
    151,376x = 229,168 × 229,168
  4. Step 4: Simplify right side
    151,376x = 52,517,972,224
  5. Step 5: Solve for x
    x = 52,517,972,224/151,376
  6. Step 6: Final answer
    x = 346,937.24

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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.