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Finding the Third Proportional to 197,190 and 424,908

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Solution

The third proportional to 197,190 and 424,908 is: 915,598.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,190 : 424,908 = 424,908 : x
  2. Step 2: Convert to fraction form
    197,190/424,908 = 424,908/x
  3. Step 3: Cross multiply
    197,190x = 424,908 × 424,908
  4. Step 4: Simplify right side
    197,190x = 180,546,808,464
  5. Step 5: Solve for x
    x = 180,546,808,464/197,190
  6. Step 6: Final answer
    x = 915,598.20

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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.