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Finding the Third Proportional to 236,102 and 356,129

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Solution

The third proportional to 236,102 and 356,129 is: 537,174.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,102 : 356,129 = 356,129 : x
  2. Step 2: Convert to fraction form
    236,102/356,129 = 356,129/x
  3. Step 3: Cross multiply
    236,102x = 356,129 × 356,129
  4. Step 4: Simplify right side
    236,102x = 126,827,864,641
  5. Step 5: Solve for x
    x = 126,827,864,641/236,102
  6. Step 6: Final answer
    x = 537,174.04

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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.