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Finding the Third Proportional to 170,499 and 248,253

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Solution

The third proportional to 170,499 and 248,253 is: 361,465.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,499 : 248,253 = 248,253 : x
  2. Step 2: Convert to fraction form
    170,499/248,253 = 248,253/x
  3. Step 3: Cross multiply
    170,499x = 248,253 × 248,253
  4. Step 4: Simplify right side
    170,499x = 61,629,552,009
  5. Step 5: Solve for x
    x = 61,629,552,009/170,499
  6. Step 6: Final answer
    x = 361,465.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.