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Finding the Third Proportional to 236,513 and 366,917

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Solution

The third proportional to 236,513 and 366,917 is: 569,220.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,513 : 366,917 = 366,917 : x
  2. Step 2: Convert to fraction form
    236,513/366,917 = 366,917/x
  3. Step 3: Cross multiply
    236,513x = 366,917 × 366,917
  4. Step 4: Simplify right side
    236,513x = 134,628,084,889
  5. Step 5: Solve for x
    x = 134,628,084,889/236,513
  6. Step 6: Final answer
    x = 569,220.66

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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.