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Finding the Third Proportional to 236,011.50 and 505,395

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Solution

The third proportional to 236,011.50 and 505,395 is: 1,082,252.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,011.50 : 505,395 = 505,395 : x
  2. Step 2: Convert to fraction form
    236,011.50/505,395 = 505,395/x
  3. Step 3: Cross multiply
    236,011.50x = 505,395 × 505,395
  4. Step 4: Simplify right side
    236,011.50x = 255,424,106,025
  5. Step 5: Solve for x
    x = 255,424,106,025/236,011.50
  6. Step 6: Final answer
    x = 1,082,252.80

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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.