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Finding the Third Proportional to 168,534 and 370,962

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Solution

The third proportional to 168,534 and 370,962 is: 816,528.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,534 : 370,962 = 370,962 : x
  2. Step 2: Convert to fraction form
    168,534/370,962 = 370,962/x
  3. Step 3: Cross multiply
    168,534x = 370,962 × 370,962
  4. Step 4: Simplify right side
    168,534x = 137,612,805,444
  5. Step 5: Solve for x
    x = 137,612,805,444/168,534
  6. Step 6: Final answer
    x = 816,528.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.