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Finding the Third Proportional to 207,923.63 and 302,194.13

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Solution

The third proportional to 207,923.63 and 302,194.13 is: 439,205.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,923.63 : 302,194.13 = 302,194.13 : x
  2. Step 2: Convert to fraction form
    207,923.63/302,194.13 = 302,194.13/x
  3. Step 3: Cross multiply
    207,923.63x = 302,194.13 × 302,194.13
  4. Step 4: Simplify right side
    207,923.63x = 91,321,289,184.52
  5. Step 5: Solve for x
    x = 91,321,289,184.52/207,923.63
  6. Step 6: Final answer
    x = 439,205.93

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.