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Finding the Third Proportional to 186,871.64 and 409,942.69

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Solution

The third proportional to 186,871.64 and 409,942.69 is: 899,296.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,871.64 : 409,942.69 = 409,942.69 : x
  2. Step 2: Convert to fraction form
    186,871.64/409,942.69 = 409,942.69/x
  3. Step 3: Cross multiply
    186,871.64x = 409,942.69 × 409,942.69
  4. Step 4: Simplify right side
    186,871.64x = 168,053,007,034.72
  5. Step 5: Solve for x
    x = 168,053,007,034.72/186,871.64
  6. Step 6: Final answer
    x = 899,296.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.