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Finding the Third Proportional to 148,533.75 and 292,146.75

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Solution

The third proportional to 148,533.75 and 292,146.75 is: 574,615.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,533.75 : 292,146.75 = 292,146.75 : x
  2. Step 2: Convert to fraction form
    148,533.75/292,146.75 = 292,146.75/x
  3. Step 3: Cross multiply
    148,533.75x = 292,146.75 × 292,146.75
  4. Step 4: Simplify right side
    148,533.75x = 85,349,723,535.56
  5. Step 5: Solve for x
    x = 85,349,723,535.56/148,533.75
  6. Step 6: Final answer
    x = 574,615.02

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.