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Finding the Third Proportional to 149,671.13 and 236,971.13

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Solution

The third proportional to 149,671.13 and 236,971.13 is: 375,191.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,671.13 : 236,971.13 = 236,971.13 : x
  2. Step 2: Convert to fraction form
    149,671.13/236,971.13 = 236,971.13/x
  3. Step 3: Cross multiply
    149,671.13x = 236,971.13 × 236,971.13
  4. Step 4: Simplify right side
    149,671.13x = 56,155,314,083.77
  5. Step 5: Solve for x
    x = 56,155,314,083.77/149,671.13
  6. Step 6: Final answer
    x = 375,191.37

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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.