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Finding the Third Proportional to 236,565 and 354,496.50

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Solution

The third proportional to 236,565 and 354,496.50 is: 531,218.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,565 : 354,496.50 = 354,496.50 : x
  2. Step 2: Convert to fraction form
    236,565/354,496.50 = 354,496.50/x
  3. Step 3: Cross multiply
    236,565x = 354,496.50 × 354,496.50
  4. Step 4: Simplify right side
    236,565x = 125,667,768,512.25
  5. Step 5: Solve for x
    x = 125,667,768,512.25/236,565
  6. Step 6: Final answer
    x = 531,218.77

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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.