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Finding the Third Proportional to 174,426 and 236,721

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Solution

The third proportional to 174,426 and 236,721 is: 321,264.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,426 : 236,721 = 236,721 : x
  2. Step 2: Convert to fraction form
    174,426/236,721 = 236,721/x
  3. Step 3: Cross multiply
    174,426x = 236,721 × 236,721
  4. Step 4: Simplify right side
    174,426x = 56,036,831,841
  5. Step 5: Solve for x
    x = 56,036,831,841/174,426
  6. Step 6: Final answer
    x = 321,264.21

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.