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Finding the Third Proportional to 152,597.25 and 331,465.50

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Solution

The third proportional to 152,597.25 and 331,465.50 is: 719,995.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,597.25 : 331,465.50 = 331,465.50 : x
  2. Step 2: Convert to fraction form
    152,597.25/331,465.50 = 331,465.50/x
  3. Step 3: Cross multiply
    152,597.25x = 331,465.50 × 331,465.50
  4. Step 4: Simplify right side
    152,597.25x = 109,869,377,690.25
  5. Step 5: Solve for x
    x = 109,869,377,690.25/152,597.25
  6. Step 6: Final answer
    x = 719,995.79

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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.