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Finding the Third Proportional to 191,133 and 267,331.50

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Solution

The third proportional to 191,133 and 267,331.50 is: 373,907.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,133 : 267,331.50 = 267,331.50 : x
  2. Step 2: Convert to fraction form
    191,133/267,331.50 = 267,331.50/x
  3. Step 3: Cross multiply
    191,133x = 267,331.50 × 267,331.50
  4. Step 4: Simplify right side
    191,133x = 71,466,130,892.25
  5. Step 5: Solve for x
    x = 71,466,130,892.25/191,133
  6. Step 6: Final answer
    x = 373,907.86

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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.