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Finding the Third Proportional to 236,599 and 357,722

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Solution

The third proportional to 236,599 and 357,722 is: 540,851.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,599 : 357,722 = 357,722 : x
  2. Step 2: Convert to fraction form
    236,599/357,722 = 357,722/x
  3. Step 3: Cross multiply
    236,599x = 357,722 × 357,722
  4. Step 4: Simplify right side
    236,599x = 127,965,029,284
  5. Step 5: Solve for x
    x = 127,965,029,284/236,599
  6. Step 6: Final answer
    x = 540,851.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.