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Finding the Third Proportional to 158,952 and 330,972

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Solution

The third proportional to 158,952 and 330,972 is: 689,154.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,952 : 330,972 = 330,972 : x
  2. Step 2: Convert to fraction form
    158,952/330,972 = 330,972/x
  3. Step 3: Cross multiply
    158,952x = 330,972 × 330,972
  4. Step 4: Simplify right side
    158,952x = 109,542,464,784
  5. Step 5: Solve for x
    x = 109,542,464,784/158,952
  6. Step 6: Final answer
    x = 689,154.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.