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Finding the Third Proportional to 151,709 and 330,164

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Solution

The third proportional to 151,709 and 330,164 is: 718,535.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,709 : 330,164 = 330,164 : x
  2. Step 2: Convert to fraction form
    151,709/330,164 = 330,164/x
  3. Step 3: Cross multiply
    151,709x = 330,164 × 330,164
  4. Step 4: Simplify right side
    151,709x = 109,008,266,896
  5. Step 5: Solve for x
    x = 109,008,266,896/151,709
  6. Step 6: Final answer
    x = 718,535.27

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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.