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Finding the Third Proportional to 236,316 and 353,652

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Solution

The third proportional to 236,316 and 353,652 is: 529,247.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,316 : 353,652 = 353,652 : x
  2. Step 2: Convert to fraction form
    236,316/353,652 = 353,652/x
  3. Step 3: Cross multiply
    236,316x = 353,652 × 353,652
  4. Step 4: Simplify right side
    236,316x = 125,069,737,104
  5. Step 5: Solve for x
    x = 125,069,737,104/236,316
  6. Step 6: Final answer
    x = 529,247.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.