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Finding the Third Proportional to 263,200.50 and 393,046

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Solution

The third proportional to 263,200.50 and 393,046 is: 586,948.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,200.50 : 393,046 = 393,046 : x
  2. Step 2: Convert to fraction form
    263,200.50/393,046 = 393,046/x
  3. Step 3: Cross multiply
    263,200.50x = 393,046 × 393,046
  4. Step 4: Simplify right side
    263,200.50x = 154,485,158,116
  5. Step 5: Solve for x
    x = 154,485,158,116/263,200.50
  6. Step 6: Final answer
    x = 586,948.57

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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.