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Finding the Third Proportional to 141,812 and 222,492

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Solution

The third proportional to 141,812 and 222,492 is: 349,072.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,812 : 222,492 = 222,492 : x
  2. Step 2: Convert to fraction form
    141,812/222,492 = 222,492/x
  3. Step 3: Cross multiply
    141,812x = 222,492 × 222,492
  4. Step 4: Simplify right side
    141,812x = 49,502,690,064
  5. Step 5: Solve for x
    x = 49,502,690,064/141,812
  6. Step 6: Final answer
    x = 349,072.65

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.