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Finding the Third Proportional to 194,677.17 and 431,334.49

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Solution

The third proportional to 194,677.17 and 431,334.49 is: 955,681.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,677.17 : 431,334.49 = 431,334.49 : x
  2. Step 2: Convert to fraction form
    194,677.17/431,334.49 = 431,334.49/x
  3. Step 3: Cross multiply
    194,677.17x = 431,334.49 × 431,334.49
  4. Step 4: Simplify right side
    194,677.17x = 186,049,444,150.65
  5. Step 5: Solve for x
    x = 186,049,444,150.65/194,677.17
  6. Step 6: Final answer
    x = 955,681.87

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.