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Finding the Third Proportional to 186,934 and 410,056

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Solution

The third proportional to 186,934 and 410,056 is: 899,493.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,934 : 410,056 = 410,056 : x
  2. Step 2: Convert to fraction form
    186,934/410,056 = 410,056/x
  3. Step 3: Cross multiply
    186,934x = 410,056 × 410,056
  4. Step 4: Simplify right side
    186,934x = 168,145,923,136
  5. Step 5: Solve for x
    x = 168,145,923,136/186,934
  6. Step 6: Final answer
    x = 899,493.53

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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.