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Finding the Third Proportional to 192,874.50 and 430,461

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Solution

The third proportional to 192,874.50 and 430,461 is: 960,711.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,874.50 : 430,461 = 430,461 : x
  2. Step 2: Convert to fraction form
    192,874.50/430,461 = 430,461/x
  3. Step 3: Cross multiply
    192,874.50x = 430,461 × 430,461
  4. Step 4: Simplify right side
    192,874.50x = 185,296,672,521
  5. Step 5: Solve for x
    x = 185,296,672,521/192,874.50
  6. Step 6: Final answer
    x = 960,711.10

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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.