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Finding the Third Proportional to 174,972 and 371,816

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Solution

The third proportional to 174,972 and 371,816 is: 790,110.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,972 : 371,816 = 371,816 : x
  2. Step 2: Convert to fraction form
    174,972/371,816 = 371,816/x
  3. Step 3: Cross multiply
    174,972x = 371,816 × 371,816
  4. Step 4: Simplify right side
    174,972x = 138,247,137,856
  5. Step 5: Solve for x
    x = 138,247,137,856/174,972
  6. Step 6: Final answer
    x = 790,110.06

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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.