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Finding the Third Proportional to 119,359.50 and 263,559

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Solution

The third proportional to 119,359.50 and 263,559 is: 581,967.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,359.50 : 263,559 = 263,559 : x
  2. Step 2: Convert to fraction form
    119,359.50/263,559 = 263,559/x
  3. Step 3: Cross multiply
    119,359.50x = 263,559 × 263,559
  4. Step 4: Simplify right side
    119,359.50x = 69,463,346,481
  5. Step 5: Solve for x
    x = 69,463,346,481/119,359.50
  6. Step 6: Final answer
    x = 581,967.47

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.