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Finding the Third Proportional to 169,536 and 248,223

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Solution

The third proportional to 169,536 and 248,223 is: 363,431.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,536 : 248,223 = 248,223 : x
  2. Step 2: Convert to fraction form
    169,536/248,223 = 248,223/x
  3. Step 3: Cross multiply
    169,536x = 248,223 × 248,223
  4. Step 4: Simplify right side
    169,536x = 61,614,657,729
  5. Step 5: Solve for x
    x = 61,614,657,729/169,536
  6. Step 6: Final answer
    x = 363,431.12

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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.