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Finding the Third Proportional to 151,119 and 330,894

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Solution

The third proportional to 151,119 and 330,894 is: 724,533.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,119 : 330,894 = 330,894 : x
  2. Step 2: Convert to fraction form
    151,119/330,894 = 330,894/x
  3. Step 3: Cross multiply
    151,119x = 330,894 × 330,894
  4. Step 4: Simplify right side
    151,119x = 109,490,839,236
  5. Step 5: Solve for x
    x = 109,490,839,236/151,119
  6. Step 6: Final answer
    x = 724,533.91

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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.