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Finding the Third Proportional to 173,298 and 372,382

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Solution

The third proportional to 173,298 and 372,382 is: 800,172.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,298 : 372,382 = 372,382 : x
  2. Step 2: Convert to fraction form
    173,298/372,382 = 372,382/x
  3. Step 3: Cross multiply
    173,298x = 372,382 × 372,382
  4. Step 4: Simplify right side
    173,298x = 138,668,353,924
  5. Step 5: Solve for x
    x = 138,668,353,924/173,298
  6. Step 6: Final answer
    x = 800,172.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.