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Finding the Third Proportional to 156,634 and 333,788

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Solution

The third proportional to 156,634 and 333,788 is: 711,304.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,634 : 333,788 = 333,788 : x
  2. Step 2: Convert to fraction form
    156,634/333,788 = 333,788/x
  3. Step 3: Cross multiply
    156,634x = 333,788 × 333,788
  4. Step 4: Simplify right side
    156,634x = 111,414,428,944
  5. Step 5: Solve for x
    x = 111,414,428,944/156,634
  6. Step 6: Final answer
    x = 711,304.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.