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Finding the Third Proportional to 256,192 and 385,114

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Solution

The third proportional to 256,192 and 385,114 is: 578,912.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,192 : 385,114 = 385,114 : x
  2. Step 2: Convert to fraction form
    256,192/385,114 = 385,114/x
  3. Step 3: Cross multiply
    256,192x = 385,114 × 385,114
  4. Step 4: Simplify right side
    256,192x = 148,312,792,996
  5. Step 5: Solve for x
    x = 148,312,792,996/256,192
  6. Step 6: Final answer
    x = 578,912.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.