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Finding the Third Proportional to 143,340 and 222,402

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Solution

The third proportional to 143,340 and 222,402 is: 345,072.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,340 : 222,402 = 222,402 : x
  2. Step 2: Convert to fraction form
    143,340/222,402 = 222,402/x
  3. Step 3: Cross multiply
    143,340x = 222,402 × 222,402
  4. Step 4: Simplify right side
    143,340x = 49,462,649,604
  5. Step 5: Solve for x
    x = 49,462,649,604/143,340
  6. Step 6: Final answer
    x = 345,072.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.