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Finding the Third Proportional to 136,350 and 292,939.50

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Solution

The third proportional to 136,350 and 292,939.50 is: 629,362.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,350 : 292,939.50 = 292,939.50 : x
  2. Step 2: Convert to fraction form
    136,350/292,939.50 = 292,939.50/x
  3. Step 3: Cross multiply
    136,350x = 292,939.50 × 292,939.50
  4. Step 4: Simplify right side
    136,350x = 85,813,550,660.25
  5. Step 5: Solve for x
    x = 85,813,550,660.25/136,350
  6. Step 6: Final answer
    x = 629,362.31

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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.