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Finding the Third Proportional to 152,973.56 and 331,365.94

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Solution

The third proportional to 152,973.56 and 331,365.94 is: 717,793.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,973.56 : 331,365.94 = 331,365.94 : x
  2. Step 2: Convert to fraction form
    152,973.56/331,365.94 = 331,365.94/x
  3. Step 3: Cross multiply
    152,973.56x = 331,365.94 × 331,365.94
  4. Step 4: Simplify right side
    152,973.56x = 109,803,384,535.25
  5. Step 5: Solve for x
    x = 109,803,384,535.25/152,973.56
  6. Step 6: Final answer
    x = 717,793.21

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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.