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Finding the Third Proportional to 159,822.75 and 242,649.75

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Solution

The third proportional to 159,822.75 and 242,649.75 is: 368,401.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,822.75 : 242,649.75 = 242,649.75 : x
  2. Step 2: Convert to fraction form
    159,822.75/242,649.75 = 242,649.75/x
  3. Step 3: Cross multiply
    159,822.75x = 242,649.75 × 242,649.75
  4. Step 4: Simplify right side
    159,822.75x = 58,878,901,175.06
  5. Step 5: Solve for x
    x = 58,878,901,175.06/159,822.75
  6. Step 6: Final answer
    x = 368,401.25

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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.