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Finding the Third Proportional to 192,047 and 290,724

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Solution

The third proportional to 192,047 and 290,724 is: 440,102.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,047 : 290,724 = 290,724 : x
  2. Step 2: Convert to fraction form
    192,047/290,724 = 290,724/x
  3. Step 3: Cross multiply
    192,047x = 290,724 × 290,724
  4. Step 4: Simplify right side
    192,047x = 84,520,444,176
  5. Step 5: Solve for x
    x = 84,520,444,176/192,047
  6. Step 6: Final answer
    x = 440,102.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.