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Finding the Third Proportional to 236,608 and 367,065

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Solution

The third proportional to 236,608 and 367,065 is: 569,451.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,608 : 367,065 = 367,065 : x
  2. Step 2: Convert to fraction form
    236,608/367,065 = 367,065/x
  3. Step 3: Cross multiply
    236,608x = 367,065 × 367,065
  4. Step 4: Simplify right side
    236,608x = 134,736,714,225
  5. Step 5: Solve for x
    x = 134,736,714,225/236,608
  6. Step 6: Final answer
    x = 569,451.22

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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.