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Finding the Third Proportional to 151,825.50 and 241,254

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Solution

The third proportional to 151,825.50 and 241,254 is: 383,357.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,825.50 : 241,254 = 241,254 : x
  2. Step 2: Convert to fraction form
    151,825.50/241,254 = 241,254/x
  3. Step 3: Cross multiply
    151,825.50x = 241,254 × 241,254
  4. Step 4: Simplify right side
    151,825.50x = 58,203,492,516
  5. Step 5: Solve for x
    x = 58,203,492,516/151,825.50
  6. Step 6: Final answer
    x = 383,357.82

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.