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Finding the Third Proportional to 172,360 and 372,394

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Solution

The third proportional to 172,360 and 372,394 is: 804,579.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,360 : 372,394 = 372,394 : x
  2. Step 2: Convert to fraction form
    172,360/372,394 = 372,394/x
  3. Step 3: Cross multiply
    172,360x = 372,394 × 372,394
  4. Step 4: Simplify right side
    172,360x = 138,677,291,236
  5. Step 5: Solve for x
    x = 138,677,291,236/172,360
  6. Step 6: Final answer
    x = 804,579.32

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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.