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Finding the Third Proportional to 186,923.81 and 410,035.69

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Solution

The third proportional to 186,923.81 and 410,035.69 is: 899,453.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,923.81 : 410,035.69 = 410,035.69 : x
  2. Step 2: Convert to fraction form
    186,923.81/410,035.69 = 410,035.69/x
  3. Step 3: Cross multiply
    186,923.81x = 410,035.69 × 410,035.69
  4. Step 4: Simplify right side
    186,923.81x = 168,129,265,023.60
  5. Step 5: Solve for x
    x = 168,129,265,023.60/186,923.81
  6. Step 6: Final answer
    x = 899,453.43

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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.