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Finding the Third Proportional to 195,916.50 and 430,363.13

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Solution

The third proportional to 195,916.50 and 430,363.13 is: 945,364.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,916.50 : 430,363.13 = 430,363.13 : x
  2. Step 2: Convert to fraction form
    195,916.50/430,363.13 = 430,363.13/x
  3. Step 3: Cross multiply
    195,916.50x = 430,363.13 × 430,363.13
  4. Step 4: Simplify right side
    195,916.50x = 185,212,419,359.77
  5. Step 5: Solve for x
    x = 185,212,419,359.77/195,916.50
  6. Step 6: Final answer
    x = 945,364.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.