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Finding the Third Proportional to 254,115 and 374,131.50

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Solution

The third proportional to 254,115 and 374,131.50 is: 550,830.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,115 : 374,131.50 = 374,131.50 : x
  2. Step 2: Convert to fraction form
    254,115/374,131.50 = 374,131.50/x
  3. Step 3: Cross multiply
    254,115x = 374,131.50 × 374,131.50
  4. Step 4: Simplify right side
    254,115x = 139,974,379,292.25
  5. Step 5: Solve for x
    x = 139,974,379,292.25/254,115
  6. Step 6: Final answer
    x = 550,830.84

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.