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Finding the Third Proportional to 138,393.75 and 302,636.25

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Solution

The third proportional to 138,393.75 and 302,636.25 is: 661,797.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,393.75 : 302,636.25 = 302,636.25 : x
  2. Step 2: Convert to fraction form
    138,393.75/302,636.25 = 302,636.25/x
  3. Step 3: Cross multiply
    138,393.75x = 302,636.25 × 302,636.25
  4. Step 4: Simplify right side
    138,393.75x = 91,588,699,814.06
  5. Step 5: Solve for x
    x = 91,588,699,814.06/138,393.75
  6. Step 6: Final answer
    x = 661,797.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.