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Finding the Third Proportional to 173,718 and 275,298

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Solution

The third proportional to 173,718 and 275,298 is: 436,275.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,718 : 275,298 = 275,298 : x
  2. Step 2: Convert to fraction form
    173,718/275,298 = 275,298/x
  3. Step 3: Cross multiply
    173,718x = 275,298 × 275,298
  4. Step 4: Simplify right side
    173,718x = 75,788,988,804
  5. Step 5: Solve for x
    x = 75,788,988,804/173,718
  6. Step 6: Final answer
    x = 436,275.97

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.