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Finding the Third Proportional to 174,972 and 374,816

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Solution

The third proportional to 174,972 and 374,816 is: 802,911.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,972 : 374,816 = 374,816 : x
  2. Step 2: Convert to fraction form
    174,972/374,816 = 374,816/x
  3. Step 3: Cross multiply
    174,972x = 374,816 × 374,816
  4. Step 4: Simplify right side
    174,972x = 140,487,033,856
  5. Step 5: Solve for x
    x = 140,487,033,856/174,972
  6. Step 6: Final answer
    x = 802,911.52

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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.