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Finding the Third Proportional to 105,246.75 and 225,438

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Solution

The third proportional to 105,246.75 and 225,438 is: 482,887.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,246.75 : 225,438 = 225,438 : x
  2. Step 2: Convert to fraction form
    105,246.75/225,438 = 225,438/x
  3. Step 3: Cross multiply
    105,246.75x = 225,438 × 225,438
  4. Step 4: Simplify right side
    105,246.75x = 50,822,291,844
  5. Step 5: Solve for x
    x = 50,822,291,844/105,246.75
  6. Step 6: Final answer
    x = 482,887.04

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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.