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Finding the Third Proportional to 207,003.94 and 278,191.13

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Solution

The third proportional to 207,003.94 and 278,191.13 is: 373,859.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,003.94 : 278,191.13 = 278,191.13 : x
  2. Step 2: Convert to fraction form
    207,003.94/278,191.13 = 278,191.13/x
  3. Step 3: Cross multiply
    207,003.94x = 278,191.13 × 278,191.13
  4. Step 4: Simplify right side
    207,003.94x = 77,390,302,028.77
  5. Step 5: Solve for x
    x = 77,390,302,028.77/207,003.94
  6. Step 6: Final answer
    x = 373,859.08

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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.