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Finding the Third Proportional to 152,956.69 and 333,132.75

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Solution

The third proportional to 152,956.69 and 333,132.75 is: 725,548.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,956.69 : 333,132.75 = 333,132.75 : x
  2. Step 2: Convert to fraction form
    152,956.69/333,132.75 = 333,132.75/x
  3. Step 3: Cross multiply
    152,956.69x = 333,132.75 × 333,132.75
  4. Step 4: Simplify right side
    152,956.69x = 110,977,429,122.56
  5. Step 5: Solve for x
    x = 110,977,429,122.56/152,956.69
  6. Step 6: Final answer
    x = 725,548.07

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.