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Finding the Third Proportional to 190,174.50 and 256,140

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Solution

The third proportional to 190,174.50 and 256,140 is: 344,986.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,174.50 : 256,140 = 256,140 : x
  2. Step 2: Convert to fraction form
    190,174.50/256,140 = 256,140/x
  3. Step 3: Cross multiply
    190,174.50x = 256,140 × 256,140
  4. Step 4: Simplify right side
    190,174.50x = 65,607,699,600
  5. Step 5: Solve for x
    x = 65,607,699,600/190,174.50
  6. Step 6: Final answer
    x = 344,986.84

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.