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Finding the Third Proportional to 196,911 and 431,952.75

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Solution

The third proportional to 196,911 and 431,952.75 is: 947,550.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,911 : 431,952.75 = 431,952.75 : x
  2. Step 2: Convert to fraction form
    196,911/431,952.75 = 431,952.75/x
  3. Step 3: Cross multiply
    196,911x = 431,952.75 × 431,952.75
  4. Step 4: Simplify right side
    196,911x = 186,583,178,232.56
  5. Step 5: Solve for x
    x = 186,583,178,232.56/196,911
  6. Step 6: Final answer
    x = 947,550.81

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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.