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Finding the Third Proportional to 154,212 and 334,914

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Solution

The third proportional to 154,212 and 334,914 is: 727,358.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,212 : 334,914 = 334,914 : x
  2. Step 2: Convert to fraction form
    154,212/334,914 = 334,914/x
  3. Step 3: Cross multiply
    154,212x = 334,914 × 334,914
  4. Step 4: Simplify right side
    154,212x = 112,167,387,396
  5. Step 5: Solve for x
    x = 112,167,387,396/154,212
  6. Step 6: Final answer
    x = 727,358.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.