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Finding the Third Proportional to 186,092 and 265,800

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Solution

The third proportional to 186,092 and 265,800 is: 379,648.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,092 : 265,800 = 265,800 : x
  2. Step 2: Convert to fraction form
    186,092/265,800 = 265,800/x
  3. Step 3: Cross multiply
    186,092x = 265,800 × 265,800
  4. Step 4: Simplify right side
    186,092x = 70,649,640,000
  5. Step 5: Solve for x
    x = 70,649,640,000/186,092
  6. Step 6: Final answer
    x = 379,648.99

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.