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Finding the Third Proportional to 77,274 and 186,543

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Solution

The third proportional to 77,274 and 186,543 is: 450,323.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,274 : 186,543 = 186,543 : x
  2. Step 2: Convert to fraction form
    77,274/186,543 = 186,543/x
  3. Step 3: Cross multiply
    77,274x = 186,543 × 186,543
  4. Step 4: Simplify right side
    77,274x = 34,798,290,849
  5. Step 5: Solve for x
    x = 34,798,290,849/77,274
  6. Step 6: Final answer
    x = 450,323.41

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.