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Finding the Third Proportional to 173,304 and 231,807

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Solution

The third proportional to 173,304 and 231,807 is: 310,059.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,304 : 231,807 = 231,807 : x
  2. Step 2: Convert to fraction form
    173,304/231,807 = 231,807/x
  3. Step 3: Cross multiply
    173,304x = 231,807 × 231,807
  4. Step 4: Simplify right side
    173,304x = 53,734,485,249
  5. Step 5: Solve for x
    x = 53,734,485,249/173,304
  6. Step 6: Final answer
    x = 310,059.12

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.