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Finding the Third Proportional to 105,176.25 and 225,297

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Solution

The third proportional to 105,176.25 and 225,297 is: 482,606.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,176.25 : 225,297 = 225,297 : x
  2. Step 2: Convert to fraction form
    105,176.25/225,297 = 225,297/x
  3. Step 3: Cross multiply
    105,176.25x = 225,297 × 225,297
  4. Step 4: Simplify right side
    105,176.25x = 50,758,738,209
  5. Step 5: Solve for x
    x = 50,758,738,209/105,176.25
  6. Step 6: Final answer
    x = 482,606.46

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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.