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Finding the Third Proportional to 197,464 and 424,112

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Solution

The third proportional to 197,464 and 424,112 is: 910,905.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,464 : 424,112 = 424,112 : x
  2. Step 2: Convert to fraction form
    197,464/424,112 = 424,112/x
  3. Step 3: Cross multiply
    197,464x = 424,112 × 424,112
  4. Step 4: Simplify right side
    197,464x = 179,870,988,544
  5. Step 5: Solve for x
    x = 179,870,988,544/197,464
  6. Step 6: Final answer
    x = 910,905.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.