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Finding the Third Proportional to 107,225 and 229,175

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Solution

The third proportional to 107,225 and 229,175 is: 489,822.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,225 : 229,175 = 229,175 : x
  2. Step 2: Convert to fraction form
    107,225/229,175 = 229,175/x
  3. Step 3: Cross multiply
    107,225x = 229,175 × 229,175
  4. Step 4: Simplify right side
    107,225x = 52,521,180,625
  5. Step 5: Solve for x
    x = 52,521,180,625/107,225
  6. Step 6: Final answer
    x = 489,822.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.