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Finding the Third Proportional to 186,925 and 410,039

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Solution

The third proportional to 186,925 and 410,039 is: 899,462.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,925 : 410,039 = 410,039 : x
  2. Step 2: Convert to fraction form
    186,925/410,039 = 410,039/x
  3. Step 3: Cross multiply
    186,925x = 410,039 × 410,039
  4. Step 4: Simplify right side
    186,925x = 168,131,981,521
  5. Step 5: Solve for x
    x = 168,131,981,521/186,925
  6. Step 6: Final answer
    x = 899,462.25

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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.