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Finding the Third Proportional to 159,632 and 242,768

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Solution

The third proportional to 159,632 and 242,768 is: 369,201.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,632 : 242,768 = 242,768 : x
  2. Step 2: Convert to fraction form
    159,632/242,768 = 242,768/x
  3. Step 3: Cross multiply
    159,632x = 242,768 × 242,768
  4. Step 4: Simplify right side
    159,632x = 58,936,301,824
  5. Step 5: Solve for x
    x = 58,936,301,824/159,632
  6. Step 6: Final answer
    x = 369,201.05

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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.