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Finding the Third Proportional to 159,214 and 335,708

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Solution

The third proportional to 159,214 and 335,708 is: 707,851.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,214 : 335,708 = 335,708 : x
  2. Step 2: Convert to fraction form
    159,214/335,708 = 335,708/x
  3. Step 3: Cross multiply
    159,214x = 335,708 × 335,708
  4. Step 4: Simplify right side
    159,214x = 112,699,861,264
  5. Step 5: Solve for x
    x = 112,699,861,264/159,214
  6. Step 6: Final answer
    x = 707,851.45

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.