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Finding the Third Proportional to 190,413 and 267,475.50

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Solution

The third proportional to 190,413 and 267,475.50 is: 375,726.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,413 : 267,475.50 = 267,475.50 : x
  2. Step 2: Convert to fraction form
    190,413/267,475.50 = 267,475.50/x
  3. Step 3: Cross multiply
    190,413x = 267,475.50 × 267,475.50
  4. Step 4: Simplify right side
    190,413x = 71,543,143,100.25
  5. Step 5: Solve for x
    x = 71,543,143,100.25/190,413
  6. Step 6: Final answer
    x = 375,726.15

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Why These Related Problems?

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