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Finding the Third Proportional to 150,599.25 and 354,263.63

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Solution

The third proportional to 150,599.25 and 354,263.63 is: 833,355.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,599.25 : 354,263.63 = 354,263.63 : x
  2. Step 2: Convert to fraction form
    150,599.25/354,263.63 = 354,263.63/x
  3. Step 3: Cross multiply
    150,599.25x = 354,263.63 × 354,263.63
  4. Step 4: Simplify right side
    150,599.25x = 125,502,715,998.14
  5. Step 5: Solve for x
    x = 125,502,715,998.14/150,599.25
  6. Step 6: Final answer
    x = 833,355.52

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.