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Finding the Third Proportional to 191,127 and 267,322

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Solution

The third proportional to 191,127 and 267,322 is: 373,893.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,127 : 267,322 = 267,322 : x
  2. Step 2: Convert to fraction form
    191,127/267,322 = 267,322/x
  3. Step 3: Cross multiply
    191,127x = 267,322 × 267,322
  4. Step 4: Simplify right side
    191,127x = 71,461,051,684
  5. Step 5: Solve for x
    x = 71,461,051,684/191,127
  6. Step 6: Final answer
    x = 373,893.02

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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.