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Finding the Third Proportional to 186,944 and 410,176

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Solution

The third proportional to 186,944 and 410,176 is: 899,971.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,944 : 410,176 = 410,176 : x
  2. Step 2: Convert to fraction form
    186,944/410,176 = 410,176/x
  3. Step 3: Cross multiply
    186,944x = 410,176 × 410,176
  4. Step 4: Simplify right side
    186,944x = 168,244,350,976
  5. Step 5: Solve for x
    x = 168,244,350,976/186,944
  6. Step 6: Final answer
    x = 899,971.92

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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.