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Finding the Third Proportional to 151,844.63 and 332,288.16

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Solution

The third proportional to 151,844.63 and 332,288.16 is: 727,160.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,844.63 : 332,288.16 = 332,288.16 : x
  2. Step 2: Convert to fraction form
    151,844.63/332,288.16 = 332,288.16/x
  3. Step 3: Cross multiply
    151,844.63x = 332,288.16 × 332,288.16
  4. Step 4: Simplify right side
    151,844.63x = 110,415,418,784.02
  5. Step 5: Solve for x
    x = 110,415,418,784.02/151,844.63
  6. Step 6: Final answer
    x = 727,160.54

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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.