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Finding the Third Proportional to 215,252 and 335,960

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Solution

The third proportional to 215,252 and 335,960 is: 524,358.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,252 : 335,960 = 335,960 : x
  2. Step 2: Convert to fraction form
    215,252/335,960 = 335,960/x
  3. Step 3: Cross multiply
    215,252x = 335,960 × 335,960
  4. Step 4: Simplify right side
    215,252x = 112,869,121,600
  5. Step 5: Solve for x
    x = 112,869,121,600/215,252
  6. Step 6: Final answer
    x = 524,358.06

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.