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Finding the Third Proportional to 153,047.81 and 332,310.94

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Solution

The third proportional to 153,047.81 and 332,310.94 is: 721,542.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,047.81 : 332,310.94 = 332,310.94 : x
  2. Step 2: Convert to fraction form
    153,047.81/332,310.94 = 332,310.94/x
  3. Step 3: Cross multiply
    153,047.81x = 332,310.94 × 332,310.94
  4. Step 4: Simplify right side
    153,047.81x = 110,430,559,182.13
  5. Step 5: Solve for x
    x = 110,430,559,182.13/153,047.81
  6. Step 6: Final answer
    x = 721,542.88

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.