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Finding the Third Proportional to 191,232 and 267,516

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Solution

The third proportional to 191,232 and 267,516 is: 374,230.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,232 : 267,516 = 267,516 : x
  2. Step 2: Convert to fraction form
    191,232/267,516 = 267,516/x
  3. Step 3: Cross multiply
    191,232x = 267,516 × 267,516
  4. Step 4: Simplify right side
    191,232x = 71,564,810,256
  5. Step 5: Solve for x
    x = 71,564,810,256/191,232
  6. Step 6: Final answer
    x = 374,230.31

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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.