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Finding the Third Proportional to 190,026 and 267,232.50

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Solution

The third proportional to 190,026 and 267,232.50 is: 375,807.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,026 : 267,232.50 = 267,232.50 : x
  2. Step 2: Convert to fraction form
    190,026/267,232.50 = 267,232.50/x
  3. Step 3: Cross multiply
    190,026x = 267,232.50 × 267,232.50
  4. Step 4: Simplify right side
    190,026x = 71,413,209,056.25
  5. Step 5: Solve for x
    x = 71,413,209,056.25/190,026
  6. Step 6: Final answer
    x = 375,807.57

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.