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Finding the Third Proportional to 216,081 and 341,880

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Solution

The third proportional to 216,081 and 341,880 is: 540,917.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,081 : 341,880 = 341,880 : x
  2. Step 2: Convert to fraction form
    216,081/341,880 = 341,880/x
  3. Step 3: Cross multiply
    216,081x = 341,880 × 341,880
  4. Step 4: Simplify right side
    216,081x = 116,881,934,400
  5. Step 5: Solve for x
    x = 116,881,934,400/216,081
  6. Step 6: Final answer
    x = 540,917.22

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.