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Finding the Third Proportional to 172,324 and 372,328

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Solution

The third proportional to 172,324 and 372,328 is: 804,462.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,324 : 372,328 = 372,328 : x
  2. Step 2: Convert to fraction form
    172,324/372,328 = 372,328/x
  3. Step 3: Cross multiply
    172,324x = 372,328 × 372,328
  4. Step 4: Simplify right side
    172,324x = 138,628,139,584
  5. Step 5: Solve for x
    x = 138,628,139,584/172,324
  6. Step 6: Final answer
    x = 804,462.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.