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Finding the Third Proportional to 236,089.50 and 505,836

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Solution

The third proportional to 236,089.50 and 505,836 is: 1,083,784.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,089.50 : 505,836 = 505,836 : x
  2. Step 2: Convert to fraction form
    236,089.50/505,836 = 505,836/x
  3. Step 3: Cross multiply
    236,089.50x = 505,836 × 505,836
  4. Step 4: Simplify right side
    236,089.50x = 255,870,058,896
  5. Step 5: Solve for x
    x = 255,870,058,896/236,089.50
  6. Step 6: Final answer
    x = 1,083,784.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.