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Finding the Third Proportional to 151,784 and 330,322

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Solution

The third proportional to 151,784 and 330,322 is: 718,867.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,784 : 330,322 = 330,322 : x
  2. Step 2: Convert to fraction form
    151,784/330,322 = 330,322/x
  3. Step 3: Cross multiply
    151,784x = 330,322 × 330,322
  4. Step 4: Simplify right side
    151,784x = 109,112,623,684
  5. Step 5: Solve for x
    x = 109,112,623,684/151,784
  6. Step 6: Final answer
    x = 718,867.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.