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Finding the Third Proportional to 133,656 and 288,206

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Solution

The third proportional to 133,656 and 288,206 is: 621,466.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,656 : 288,206 = 288,206 : x
  2. Step 2: Convert to fraction form
    133,656/288,206 = 288,206/x
  3. Step 3: Cross multiply
    133,656x = 288,206 × 288,206
  4. Step 4: Simplify right side
    133,656x = 83,062,698,436
  5. Step 5: Solve for x
    x = 83,062,698,436/133,656
  6. Step 6: Final answer
    x = 621,466.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.