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Finding the Third Proportional to 159,588 and 242,838

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Solution

The third proportional to 159,588 and 242,838 is: 369,515.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,588 : 242,838 = 242,838 : x
  2. Step 2: Convert to fraction form
    159,588/242,838 = 242,838/x
  3. Step 3: Cross multiply
    159,588x = 242,838 × 242,838
  4. Step 4: Simplify right side
    159,588x = 58,970,294,244
  5. Step 5: Solve for x
    x = 58,970,294,244/159,588
  6. Step 6: Final answer
    x = 369,515.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.