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Finding the Third Proportional to 137,575.97 and 302,216.06

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Solution

The third proportional to 137,575.97 and 302,216.06 is: 663,884.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,575.97 : 302,216.06 = 302,216.06 : x
  2. Step 2: Convert to fraction form
    137,575.97/302,216.06 = 302,216.06/x
  3. Step 3: Cross multiply
    137,575.97x = 302,216.06 × 302,216.06
  4. Step 4: Simplify right side
    137,575.97x = 91,334,548,433.00
  5. Step 5: Solve for x
    x = 91,334,548,433.00/137,575.97
  6. Step 6: Final answer
    x = 663,884.47

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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.