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Finding the Third Proportional to 143,571 and 314,749

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Solution

The third proportional to 143,571 and 314,749 is: 690,020.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,571 : 314,749 = 314,749 : x
  2. Step 2: Convert to fraction form
    143,571/314,749 = 314,749/x
  3. Step 3: Cross multiply
    143,571x = 314,749 × 314,749
  4. Step 4: Simplify right side
    143,571x = 99,066,933,001
  5. Step 5: Solve for x
    x = 99,066,933,001/143,571
  6. Step 6: Final answer
    x = 690,020.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.