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Finding the Third Proportional to 136,809 and 293,989.50

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Solution

The third proportional to 136,809 and 293,989.50 is: 631,755.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,809 : 293,989.50 = 293,989.50 : x
  2. Step 2: Convert to fraction form
    136,809/293,989.50 = 293,989.50/x
  3. Step 3: Cross multiply
    136,809x = 293,989.50 × 293,989.50
  4. Step 4: Simplify right side
    136,809x = 86,429,826,110.25
  5. Step 5: Solve for x
    x = 86,429,826,110.25/136,809
  6. Step 6: Final answer
    x = 631,755.41

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.