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Finding the Third Proportional to 157,341 and 336,930

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Solution

The third proportional to 157,341 and 336,930 is: 721,501.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,341 : 336,930 = 336,930 : x
  2. Step 2: Convert to fraction form
    157,341/336,930 = 336,930/x
  3. Step 3: Cross multiply
    157,341x = 336,930 × 336,930
  4. Step 4: Simplify right side
    157,341x = 113,521,824,900
  5. Step 5: Solve for x
    x = 113,521,824,900/157,341
  6. Step 6: Final answer
    x = 721,501.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.