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Finding the Third Proportional to 134,014 and 207,318

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Solution

The third proportional to 134,014 and 207,318 is: 320,718.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,014 : 207,318 = 207,318 : x
  2. Step 2: Convert to fraction form
    134,014/207,318 = 207,318/x
  3. Step 3: Cross multiply
    134,014x = 207,318 × 207,318
  4. Step 4: Simplify right side
    134,014x = 42,980,753,124
  5. Step 5: Solve for x
    x = 42,980,753,124/134,014
  6. Step 6: Final answer
    x = 320,718.38

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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.