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Finding the Third Proportional to 151,433 and 233,467.50

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Solution

The third proportional to 151,433 and 233,467.50 is: 359,941.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,433 : 233,467.50 = 233,467.50 : x
  2. Step 2: Convert to fraction form
    151,433/233,467.50 = 233,467.50/x
  3. Step 3: Cross multiply
    151,433x = 233,467.50 × 233,467.50
  4. Step 4: Simplify right side
    151,433x = 54,507,073,556.25
  5. Step 5: Solve for x
    x = 54,507,073,556.25/151,433
  6. Step 6: Final answer
    x = 359,941.85

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.