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Finding the Third Proportional to 133,391.25 and 314,878.50

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Solution

The third proportional to 133,391.25 and 314,878.50 is: 743,290.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,391.25 : 314,878.50 = 314,878.50 : x
  2. Step 2: Convert to fraction form
    133,391.25/314,878.50 = 314,878.50/x
  3. Step 3: Cross multiply
    133,391.25x = 314,878.50 × 314,878.50
  4. Step 4: Simplify right side
    133,391.25x = 99,148,469,762.25
  5. Step 5: Solve for x
    x = 99,148,469,762.25/133,391.25
  6. Step 6: Final answer
    x = 743,290.66

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.