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Finding the Third Proportional to 191,394 and 273,969

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Solution

The third proportional to 191,394 and 273,969 is: 392,170.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,394 : 273,969 = 273,969 : x
  2. Step 2: Convert to fraction form
    191,394/273,969 = 273,969/x
  3. Step 3: Cross multiply
    191,394x = 273,969 × 273,969
  4. Step 4: Simplify right side
    191,394x = 75,059,012,961
  5. Step 5: Solve for x
    x = 75,059,012,961/191,394
  6. Step 6: Final answer
    x = 392,170.15

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.