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Finding the Third Proportional to 174,415.50 and 376,715.25

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Solution

The third proportional to 174,415.50 and 376,715.25 is: 813,656.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,415.50 : 376,715.25 = 376,715.25 : x
  2. Step 2: Convert to fraction form
    174,415.50/376,715.25 = 376,715.25/x
  3. Step 3: Cross multiply
    174,415.50x = 376,715.25 × 376,715.25
  4. Step 4: Simplify right side
    174,415.50x = 141,914,379,582.56
  5. Step 5: Solve for x
    x = 141,914,379,582.56/174,415.50
  6. Step 6: Final answer
    x = 813,656.93

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.