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Finding the Third Proportional to 133,202 and 207,028

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Solution

The third proportional to 133,202 and 207,028 is: 321,771.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,202 : 207,028 = 207,028 : x
  2. Step 2: Convert to fraction form
    133,202/207,028 = 207,028/x
  3. Step 3: Cross multiply
    133,202x = 207,028 × 207,028
  4. Step 4: Simplify right side
    133,202x = 42,860,592,784
  5. Step 5: Solve for x
    x = 42,860,592,784/133,202
  6. Step 6: Final answer
    x = 321,771.39

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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.