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Finding the Third Proportional to 149,201 and 236,262

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Solution

The third proportional to 149,201 and 236,262 is: 374,124.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,201 : 236,262 = 236,262 : x
  2. Step 2: Convert to fraction form
    149,201/236,262 = 236,262/x
  3. Step 3: Cross multiply
    149,201x = 236,262 × 236,262
  4. Step 4: Simplify right side
    149,201x = 55,819,732,644
  5. Step 5: Solve for x
    x = 55,819,732,644/149,201
  6. Step 6: Final answer
    x = 374,124.39

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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.