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Finding the Third Proportional to 235,646 and 356,901

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Solution

The third proportional to 235,646 and 356,901 is: 540,549.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,646 : 356,901 = 356,901 : x
  2. Step 2: Convert to fraction form
    235,646/356,901 = 356,901/x
  3. Step 3: Cross multiply
    235,646x = 356,901 × 356,901
  4. Step 4: Simplify right side
    235,646x = 127,378,323,801
  5. Step 5: Solve for x
    x = 127,378,323,801/235,646
  6. Step 6: Final answer
    x = 540,549.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.