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Finding the Third Proportional to 141,777 and 290,034

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Solution

The third proportional to 141,777 and 290,034 is: 593,324.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,777 : 290,034 = 290,034 : x
  2. Step 2: Convert to fraction form
    141,777/290,034 = 290,034/x
  3. Step 3: Cross multiply
    141,777x = 290,034 × 290,034
  4. Step 4: Simplify right side
    141,777x = 84,119,721,156
  5. Step 5: Solve for x
    x = 84,119,721,156/141,777
  6. Step 6: Final answer
    x = 593,324.17

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.