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Finding the Third Proportional to 225,630 and 299,502

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Solution

The third proportional to 225,630 and 299,502 is: 397,559.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,630 : 299,502 = 299,502 : x
  2. Step 2: Convert to fraction form
    225,630/299,502 = 299,502/x
  3. Step 3: Cross multiply
    225,630x = 299,502 × 299,502
  4. Step 4: Simplify right side
    225,630x = 89,701,448,004
  5. Step 5: Solve for x
    x = 89,701,448,004/225,630
  6. Step 6: Final answer
    x = 397,559.93

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.