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Finding the Third Proportional to 174,904 and 374,704

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Solution

The third proportional to 174,904 and 374,704 is: 802,743.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,904 : 374,704 = 374,704 : x
  2. Step 2: Convert to fraction form
    174,904/374,704 = 374,704/x
  3. Step 3: Cross multiply
    174,904x = 374,704 × 374,704
  4. Step 4: Simplify right side
    174,904x = 140,403,087,616
  5. Step 5: Solve for x
    x = 140,403,087,616/174,904
  6. Step 6: Final answer
    x = 802,743.72

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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.