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Finding the Third Proportional to 174,131 and 377,244.25

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Solution

The third proportional to 174,131 and 377,244.25 is: 817,276.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,131 : 377,244.25 = 377,244.25 : x
  2. Step 2: Convert to fraction form
    174,131/377,244.25 = 377,244.25/x
  3. Step 3: Cross multiply
    174,131x = 377,244.25 × 377,244.25
  4. Step 4: Simplify right side
    174,131x = 142,313,224,158.06
  5. Step 5: Solve for x
    x = 142,313,224,158.06/174,131
  6. Step 6: Final answer
    x = 817,276.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.