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Finding the Third Proportional to 159,584 and 242,832

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Solution

The third proportional to 159,584 and 242,832 is: 369,506.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,584 : 242,832 = 242,832 : x
  2. Step 2: Convert to fraction form
    159,584/242,832 = 242,832/x
  3. Step 3: Cross multiply
    159,584x = 242,832 × 242,832
  4. Step 4: Simplify right side
    159,584x = 58,967,380,224
  5. Step 5: Solve for x
    x = 58,967,380,224/159,584
  6. Step 6: Final answer
    x = 369,506.84

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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.