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Finding the Third Proportional to 236,025 and 355,997

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Solution

The third proportional to 236,025 and 355,997 is: 536,951.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,025 : 355,997 = 355,997 : x
  2. Step 2: Convert to fraction form
    236,025/355,997 = 355,997/x
  3. Step 3: Cross multiply
    236,025x = 355,997 × 355,997
  4. Step 4: Simplify right side
    236,025x = 126,733,864,009
  5. Step 5: Solve for x
    x = 126,733,864,009/236,025
  6. Step 6: Final answer
    x = 536,951.02

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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.