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Finding the Third Proportional to 236,024 and 355,996

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Solution

The third proportional to 236,024 and 355,996 is: 536,950.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,024 : 355,996 = 355,996 : x
  2. Step 2: Convert to fraction form
    236,024/355,996 = 355,996/x
  3. Step 3: Cross multiply
    236,024x = 355,996 × 355,996
  4. Step 4: Simplify right side
    236,024x = 126,733,152,016
  5. Step 5: Solve for x
    x = 126,733,152,016/236,024
  6. Step 6: Final answer
    x = 536,950.28

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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.