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Finding the Third Proportional to 169,396.38 and 368,316.13

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Solution

The third proportional to 169,396.38 and 368,316.13 is: 800,824.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,396.38 : 368,316.13 = 368,316.13 : x
  2. Step 2: Convert to fraction form
    169,396.38/368,316.13 = 368,316.13/x
  3. Step 3: Cross multiply
    169,396.38x = 368,316.13 × 368,316.13
  4. Step 4: Simplify right side
    169,396.38x = 135,656,767,935.02
  5. Step 5: Solve for x
    x = 135,656,767,935.02/169,396.38
  6. Step 6: Final answer
    x = 800,824.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.