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Finding the Third Proportional to 151,210 and 331,364

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Solution

The third proportional to 151,210 and 331,364 is: 726,156.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,210 : 331,364 = 331,364 : x
  2. Step 2: Convert to fraction form
    151,210/331,364 = 331,364/x
  3. Step 3: Cross multiply
    151,210x = 331,364 × 331,364
  4. Step 4: Simplify right side
    151,210x = 109,802,100,496
  5. Step 5: Solve for x
    x = 109,802,100,496/151,210
  6. Step 6: Final answer
    x = 726,156.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.