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Finding the Third Proportional to 197,186 and 424,900

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Solution

The third proportional to 197,186 and 424,900 is: 915,582.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,186 : 424,900 = 424,900 : x
  2. Step 2: Convert to fraction form
    197,186/424,900 = 424,900/x
  3. Step 3: Cross multiply
    197,186x = 424,900 × 424,900
  4. Step 4: Simplify right side
    197,186x = 180,540,010,000
  5. Step 5: Solve for x
    x = 180,540,010,000/197,186
  6. Step 6: Final answer
    x = 915,582.29

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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.