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Finding the Third Proportional to 197,249 and 431,404

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Solution

The third proportional to 197,249 and 431,404 is: 943,525.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,249 : 431,404 = 431,404 : x
  2. Step 2: Convert to fraction form
    197,249/431,404 = 431,404/x
  3. Step 3: Cross multiply
    197,249x = 431,404 × 431,404
  4. Step 4: Simplify right side
    197,249x = 186,109,411,216
  5. Step 5: Solve for x
    x = 186,109,411,216/197,249
  6. Step 6: Final answer
    x = 943,525.25

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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.