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Finding the Third Proportional to 137,446.88 and 302,852.25

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Solution

The third proportional to 137,446.88 and 302,852.25 is: 667,308.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,446.88 : 302,852.25 = 302,852.25 : x
  2. Step 2: Convert to fraction form
    137,446.88/302,852.25 = 302,852.25/x
  3. Step 3: Cross multiply
    137,446.88x = 302,852.25 × 302,852.25
  4. Step 4: Simplify right side
    137,446.88x = 91,719,485,330.06
  5. Step 5: Solve for x
    x = 91,719,485,330.06/137,446.88
  6. Step 6: Final answer
    x = 667,308.63

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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.