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Finding the Third Proportional to 169,097.63 and 393,204.38

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Solution

The third proportional to 169,097.63 and 393,204.38 is: 914,322.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,097.63 : 393,204.38 = 393,204.38 : x
  2. Step 2: Convert to fraction form
    169,097.63/393,204.38 = 393,204.38/x
  3. Step 3: Cross multiply
    169,097.63x = 393,204.38 × 393,204.38
  4. Step 4: Simplify right side
    169,097.63x = 154,609,680,519.14
  5. Step 5: Solve for x
    x = 154,609,680,519.14/169,097.63
  6. Step 6: Final answer
    x = 914,322.01

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.