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Finding the Third Proportional to 197,241 and 431,310

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Solution

The third proportional to 197,241 and 431,310 is: 943,152.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,241 : 431,310 = 431,310 : x
  2. Step 2: Convert to fraction form
    197,241/431,310 = 431,310/x
  3. Step 3: Cross multiply
    197,241x = 431,310 × 431,310
  4. Step 4: Simplify right side
    197,241x = 186,028,316,100
  5. Step 5: Solve for x
    x = 186,028,316,100/197,241
  6. Step 6: Final answer
    x = 943,152.37

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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.