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Finding the Third Proportional to 152,619 and 236,595

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Solution

The third proportional to 152,619 and 236,595 is: 366,777.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,619 : 236,595 = 236,595 : x
  2. Step 2: Convert to fraction form
    152,619/236,595 = 236,595/x
  3. Step 3: Cross multiply
    152,619x = 236,595 × 236,595
  4. Step 4: Simplify right side
    152,619x = 55,977,194,025
  5. Step 5: Solve for x
    x = 55,977,194,025/152,619
  6. Step 6: Final answer
    x = 366,777.36

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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.