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Finding the Third Proportional to 199,295 and 302,633

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Solution

The third proportional to 199,295 and 302,633 is: 459,553.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,295 : 302,633 = 302,633 : x
  2. Step 2: Convert to fraction form
    199,295/302,633 = 302,633/x
  3. Step 3: Cross multiply
    199,295x = 302,633 × 302,633
  4. Step 4: Simplify right side
    199,295x = 91,586,732,689
  5. Step 5: Solve for x
    x = 91,586,732,689/199,295
  6. Step 6: Final answer
    x = 459,553.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.