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Finding the Third Proportional to 159,871.50 and 246,369

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Solution

The third proportional to 159,871.50 and 246,369 is: 379,665.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,871.50 : 246,369 = 246,369 : x
  2. Step 2: Convert to fraction form
    159,871.50/246,369 = 246,369/x
  3. Step 3: Cross multiply
    159,871.50x = 246,369 × 246,369
  4. Step 4: Simplify right side
    159,871.50x = 60,697,684,161
  5. Step 5: Solve for x
    x = 60,697,684,161/159,871.50
  6. Step 6: Final answer
    x = 379,665.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.