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Finding the Third Proportional to 174,784 and 372,446

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Solution

The third proportional to 174,784 and 372,446 is: 793,642.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,784 : 372,446 = 372,446 : x
  2. Step 2: Convert to fraction form
    174,784/372,446 = 372,446/x
  3. Step 3: Cross multiply
    174,784x = 372,446 × 372,446
  4. Step 4: Simplify right side
    174,784x = 138,716,022,916
  5. Step 5: Solve for x
    x = 138,716,022,916/174,784
  6. Step 6: Final answer
    x = 793,642.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.