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Finding the Third Proportional to 103,005 and 225,693

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Solution

The third proportional to 103,005 and 225,693 is: 494,513.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,005 : 225,693 = 225,693 : x
  2. Step 2: Convert to fraction form
    103,005/225,693 = 225,693/x
  3. Step 3: Cross multiply
    103,005x = 225,693 × 225,693
  4. Step 4: Simplify right side
    103,005x = 50,937,330,249
  5. Step 5: Solve for x
    x = 50,937,330,249/103,005
  6. Step 6: Final answer
    x = 494,513.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.