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Finding the Third Proportional to 94,534 and 206,240

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Solution

The third proportional to 94,534 and 206,240 is: 449,943.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,534 : 206,240 = 206,240 : x
  2. Step 2: Convert to fraction form
    94,534/206,240 = 206,240/x
  3. Step 3: Cross multiply
    94,534x = 206,240 × 206,240
  4. Step 4: Simplify right side
    94,534x = 42,534,937,600
  5. Step 5: Solve for x
    x = 42,534,937,600/94,534
  6. Step 6: Final answer
    x = 449,943.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.