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Finding the Third Proportional to 106,300 and 225,560

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Solution

The third proportional to 106,300 and 225,560 is: 478,620.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,300 : 225,560 = 225,560 : x
  2. Step 2: Convert to fraction form
    106,300/225,560 = 225,560/x
  3. Step 3: Cross multiply
    106,300x = 225,560 × 225,560
  4. Step 4: Simplify right side
    106,300x = 50,877,313,600
  5. Step 5: Solve for x
    x = 50,877,313,600/106,300
  6. Step 6: Final answer
    x = 478,620.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.