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Finding the Third Proportional to 141,476 and 220,824

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Solution

The third proportional to 141,476 and 220,824 is: 344,674.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,476 : 220,824 = 220,824 : x
  2. Step 2: Convert to fraction form
    141,476/220,824 = 220,824/x
  3. Step 3: Cross multiply
    141,476x = 220,824 × 220,824
  4. Step 4: Simplify right side
    141,476x = 48,763,238,976
  5. Step 5: Solve for x
    x = 48,763,238,976/141,476
  6. Step 6: Final answer
    x = 344,674.99

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.