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Finding the Third Proportional to 197,665.50 and 425,349

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Solution

The third proportional to 197,665.50 and 425,349 is: 915,292.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,665.50 : 425,349 = 425,349 : x
  2. Step 2: Convert to fraction form
    197,665.50/425,349 = 425,349/x
  3. Step 3: Cross multiply
    197,665.50x = 425,349 × 425,349
  4. Step 4: Simplify right side
    197,665.50x = 180,921,771,801
  5. Step 5: Solve for x
    x = 180,921,771,801/197,665.50
  6. Step 6: Final answer
    x = 915,292.61

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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.