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Finding the Third Proportional to 190,316.25 and 413,427.38

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Solution

The third proportional to 190,316.25 and 413,427.38 is: 898,095.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,316.25 : 413,427.38 = 413,427.38 : x
  2. Step 2: Convert to fraction form
    190,316.25/413,427.38 = 413,427.38/x
  3. Step 3: Cross multiply
    190,316.25x = 413,427.38 × 413,427.38
  4. Step 4: Simplify right side
    190,316.25x = 170,922,194,399.39
  5. Step 5: Solve for x
    x = 170,922,194,399.39/190,316.25
  6. Step 6: Final answer
    x = 898,095.64

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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.