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Finding the Third Proportional to 141,836 and 290,980

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Solution

The third proportional to 141,836 and 290,980 is: 596,952.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,836 : 290,980 = 290,980 : x
  2. Step 2: Convert to fraction form
    141,836/290,980 = 290,980/x
  3. Step 3: Cross multiply
    141,836x = 290,980 × 290,980
  4. Step 4: Simplify right side
    141,836x = 84,669,360,400
  5. Step 5: Solve for x
    x = 84,669,360,400/141,836
  6. Step 6: Final answer
    x = 596,952.54

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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.