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Finding the Third Proportional to 103,032 and 225,768

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Solution

The third proportional to 103,032 and 225,768 is: 494,712.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,032 : 225,768 = 225,768 : x
  2. Step 2: Convert to fraction form
    103,032/225,768 = 225,768/x
  3. Step 3: Cross multiply
    103,032x = 225,768 × 225,768
  4. Step 4: Simplify right side
    103,032x = 50,971,189,824
  5. Step 5: Solve for x
    x = 50,971,189,824/103,032
  6. Step 6: Final answer
    x = 494,712.22

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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.