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Finding the Third Proportional to 197,199 and 431,713.13

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Solution

The third proportional to 197,199 and 431,713.13 is: 945,117.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,199 : 431,713.13 = 431,713.13 : x
  2. Step 2: Convert to fraction form
    197,199/431,713.13 = 431,713.13/x
  3. Step 3: Cross multiply
    197,199x = 431,713.13 × 431,713.13
  4. Step 4: Simplify right side
    197,199x = 186,376,222,297.27
  5. Step 5: Solve for x
    x = 186,376,222,297.27/197,199
  6. Step 6: Final answer
    x = 945,117.48

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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.