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Finding the Third Proportional to 154,024 and 192,803

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Solution

The third proportional to 154,024 and 192,803 is: 241,345.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,024 : 192,803 = 192,803 : x
  2. Step 2: Convert to fraction form
    154,024/192,803 = 192,803/x
  3. Step 3: Cross multiply
    154,024x = 192,803 × 192,803
  4. Step 4: Simplify right side
    154,024x = 37,172,996,809
  5. Step 5: Solve for x
    x = 37,172,996,809/154,024
  6. Step 6: Final answer
    x = 241,345.48

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.