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Finding the Third Proportional to 151,746.75 and 332,403.75

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Solution

The third proportional to 151,746.75 and 332,403.75 is: 728,135.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,746.75 : 332,403.75 = 332,403.75 : x
  2. Step 2: Convert to fraction form
    151,746.75/332,403.75 = 332,403.75/x
  3. Step 3: Cross multiply
    151,746.75x = 332,403.75 × 332,403.75
  4. Step 4: Simplify right side
    151,746.75x = 110,492,253,014.06
  5. Step 5: Solve for x
    x = 110,492,253,014.06/151,746.75
  6. Step 6: Final answer
    x = 728,135.88

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.