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Finding the Third Proportional to 192,877.50 and 430,467

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Solution

The third proportional to 192,877.50 and 430,467 is: 960,722.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,877.50 : 430,467 = 430,467 : x
  2. Step 2: Convert to fraction form
    192,877.50/430,467 = 430,467/x
  3. Step 3: Cross multiply
    192,877.50x = 430,467 × 430,467
  4. Step 4: Simplify right side
    192,877.50x = 185,301,838,089
  5. Step 5: Solve for x
    x = 185,301,838,089/192,877.50
  6. Step 6: Final answer
    x = 960,722.94

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.