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Finding the Third Proportional to 159,616 and 236,336

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Solution

The third proportional to 159,616 and 236,336 is: 349,931.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,616 : 236,336 = 236,336 : x
  2. Step 2: Convert to fraction form
    159,616/236,336 = 236,336/x
  3. Step 3: Cross multiply
    159,616x = 236,336 × 236,336
  4. Step 4: Simplify right side
    159,616x = 55,854,704,896
  5. Step 5: Solve for x
    x = 55,854,704,896/159,616
  6. Step 6: Final answer
    x = 349,931.74

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.