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Finding the Third Proportional to 159,426 and 236,061

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Solution

The third proportional to 159,426 and 236,061 is: 349,533.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,426 : 236,061 = 236,061 : x
  2. Step 2: Convert to fraction form
    159,426/236,061 = 236,061/x
  3. Step 3: Cross multiply
    159,426x = 236,061 × 236,061
  4. Step 4: Simplify right side
    159,426x = 55,724,795,721
  5. Step 5: Solve for x
    x = 55,724,795,721/159,426
  6. Step 6: Final answer
    x = 349,533.93

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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.