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Finding the Third Proportional to 254,108.50 and 374,123

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Solution

The third proportional to 254,108.50 and 374,123 is: 550,819.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,108.50 : 374,123 = 374,123 : x
  2. Step 2: Convert to fraction form
    254,108.50/374,123 = 374,123/x
  3. Step 3: Cross multiply
    254,108.50x = 374,123 × 374,123
  4. Step 4: Simplify right side
    254,108.50x = 139,968,019,129
  5. Step 5: Solve for x
    x = 139,968,019,129/254,108.50
  6. Step 6: Final answer
    x = 550,819.90

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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.