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Finding the Third Proportional to 157,815.84 and 338,061.09

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Solution

The third proportional to 157,815.84 and 338,061.09 is: 724,168.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,815.84 : 338,061.09 = 338,061.09 : x
  2. Step 2: Convert to fraction form
    157,815.84/338,061.09 = 338,061.09/x
  3. Step 3: Cross multiply
    157,815.84x = 338,061.09 × 338,061.09
  4. Step 4: Simplify right side
    157,815.84x = 114,285,303,107.45
  5. Step 5: Solve for x
    x = 114,285,303,107.45/157,815.84
  6. Step 6: Final answer
    x = 724,168.76

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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.