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Finding the Third Proportional to 64,288.50 and 143,481

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Solution

The third proportional to 64,288.50 and 143,481 is: 320,225.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,288.50 : 143,481 = 143,481 : x
  2. Step 2: Convert to fraction form
    64,288.50/143,481 = 143,481/x
  3. Step 3: Cross multiply
    64,288.50x = 143,481 × 143,481
  4. Step 4: Simplify right side
    64,288.50x = 20,586,797,361
  5. Step 5: Solve for x
    x = 20,586,797,361/64,288.50
  6. Step 6: Final answer
    x = 320,225.19

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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.