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Finding the Third Proportional to 190,407 and 267,466.50

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Solution

The third proportional to 190,407 and 267,466.50 is: 375,712.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,407 : 267,466.50 = 267,466.50 : x
  2. Step 2: Convert to fraction form
    190,407/267,466.50 = 267,466.50/x
  3. Step 3: Cross multiply
    190,407x = 267,466.50 × 267,466.50
  4. Step 4: Simplify right side
    190,407x = 71,538,328,622.25
  5. Step 5: Solve for x
    x = 71,538,328,622.25/190,407
  6. Step 6: Final answer
    x = 375,712.70

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.