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Finding the Third Proportional to 133,097 and 206,207

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Solution

The third proportional to 133,097 and 206,207 is: 319,476.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,097 : 206,207 = 206,207 : x
  2. Step 2: Convert to fraction form
    133,097/206,207 = 206,207/x
  3. Step 3: Cross multiply
    133,097x = 206,207 × 206,207
  4. Step 4: Simplify right side
    133,097x = 42,521,326,849
  5. Step 5: Solve for x
    x = 42,521,326,849/133,097
  6. Step 6: Final answer
    x = 319,476.22

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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.