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Finding the Third Proportional to 190,287 and 256,315.50

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Solution

The third proportional to 190,287 and 256,315.50 is: 345,255.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,287 : 256,315.50 = 256,315.50 : x
  2. Step 2: Convert to fraction form
    190,287/256,315.50 = 256,315.50/x
  3. Step 3: Cross multiply
    190,287x = 256,315.50 × 256,315.50
  4. Step 4: Simplify right side
    190,287x = 65,697,635,540.25
  5. Step 5: Solve for x
    x = 65,697,635,540.25/190,287
  6. Step 6: Final answer
    x = 345,255.51

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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.