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Finding the Third Proportional to 133,944 and 207,213

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Solution

The third proportional to 133,944 and 207,213 is: 320,561.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,944 : 207,213 = 207,213 : x
  2. Step 2: Convert to fraction form
    133,944/207,213 = 207,213/x
  3. Step 3: Cross multiply
    133,944x = 207,213 × 207,213
  4. Step 4: Simplify right side
    133,944x = 42,937,227,369
  5. Step 5: Solve for x
    x = 42,937,227,369/133,944
  6. Step 6: Final answer
    x = 320,561.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.