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Finding the Third Proportional to 186,120 and 265,839

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Solution

The third proportional to 186,120 and 265,839 is: 379,703.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,120 : 265,839 = 265,839 : x
  2. Step 2: Convert to fraction form
    186,120/265,839 = 265,839/x
  3. Step 3: Cross multiply
    186,120x = 265,839 × 265,839
  4. Step 4: Simplify right side
    186,120x = 70,670,373,921
  5. Step 5: Solve for x
    x = 70,670,373,921/186,120
  6. Step 6: Final answer
    x = 379,703.28

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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.