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Finding the Third Proportional to 136,158.75 and 292,830.75

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Solution

The third proportional to 136,158.75 and 292,830.75 is: 629,778.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,158.75 : 292,830.75 = 292,830.75 : x
  2. Step 2: Convert to fraction form
    136,158.75/292,830.75 = 292,830.75/x
  3. Step 3: Cross multiply
    136,158.75x = 292,830.75 × 292,830.75
  4. Step 4: Simplify right side
    136,158.75x = 85,749,848,145.56
  5. Step 5: Solve for x
    x = 85,749,848,145.56/136,158.75
  6. Step 6: Final answer
    x = 629,778.46

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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.