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Finding the Third Proportional to 84,811 and 178,340

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Solution

The third proportional to 84,811 and 178,340 is: 375,012.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,811 : 178,340 = 178,340 : x
  2. Step 2: Convert to fraction form
    84,811/178,340 = 178,340/x
  3. Step 3: Cross multiply
    84,811x = 178,340 × 178,340
  4. Step 4: Simplify right side
    84,811x = 31,805,155,600
  5. Step 5: Solve for x
    x = 31,805,155,600/84,811
  6. Step 6: Final answer
    x = 375,012.15

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.