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Finding the Third Proportional to 236,246 and 364,815

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Solution

The third proportional to 236,246 and 364,815 is: 563,353.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,246 : 364,815 = 364,815 : x
  2. Step 2: Convert to fraction form
    236,246/364,815 = 364,815/x
  3. Step 3: Cross multiply
    236,246x = 364,815 × 364,815
  4. Step 4: Simplify right side
    236,246x = 133,089,984,225
  5. Step 5: Solve for x
    x = 133,089,984,225/236,246
  6. Step 6: Final answer
    x = 563,353.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.