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Finding the Third Proportional to 84,880 and 186,084

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Solution

The third proportional to 84,880 and 186,084 is: 407,955.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,880 : 186,084 = 186,084 : x
  2. Step 2: Convert to fraction form
    84,880/186,084 = 186,084/x
  3. Step 3: Cross multiply
    84,880x = 186,084 × 186,084
  4. Step 4: Simplify right side
    84,880x = 34,627,255,056
  5. Step 5: Solve for x
    x = 34,627,255,056/84,880
  6. Step 6: Final answer
    x = 407,955.41

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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.