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Finding the Third Proportional to 263,197.50 and 393,042

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Solution

The third proportional to 263,197.50 and 393,042 is: 586,943.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,197.50 : 393,042 = 393,042 : x
  2. Step 2: Convert to fraction form
    263,197.50/393,042 = 393,042/x
  3. Step 3: Cross multiply
    263,197.50x = 393,042 × 393,042
  4. Step 4: Simplify right side
    263,197.50x = 154,482,013,764
  5. Step 5: Solve for x
    x = 154,482,013,764/263,197.50
  6. Step 6: Final answer
    x = 586,943.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.