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Finding the Third Proportional to 133,396 and 205,014

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Solution

The third proportional to 133,396 and 205,014 is: 315,082.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,396 : 205,014 = 205,014 : x
  2. Step 2: Convert to fraction form
    133,396/205,014 = 205,014/x
  3. Step 3: Cross multiply
    133,396x = 205,014 × 205,014
  4. Step 4: Simplify right side
    133,396x = 42,030,740,196
  5. Step 5: Solve for x
    x = 42,030,740,196/133,396
  6. Step 6: Final answer
    x = 315,082.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.