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Finding the Third Proportional to 105,074.50 and 224,909

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Solution

The third proportional to 105,074.50 and 224,909 is: 481,411.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,074.50 : 224,909 = 224,909 : x
  2. Step 2: Convert to fraction form
    105,074.50/224,909 = 224,909/x
  3. Step 3: Cross multiply
    105,074.50x = 224,909 × 224,909
  4. Step 4: Simplify right side
    105,074.50x = 50,584,058,281
  5. Step 5: Solve for x
    x = 50,584,058,281/105,074.50
  6. Step 6: Final answer
    x = 481,411.36

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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.