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Finding the Third Proportional to 236,355 and 354,703.50

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Solution

The third proportional to 236,355 and 354,703.50 is: 532,311.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,355 : 354,703.50 = 354,703.50 : x
  2. Step 2: Convert to fraction form
    236,355/354,703.50 = 354,703.50/x
  3. Step 3: Cross multiply
    236,355x = 354,703.50 × 354,703.50
  4. Step 4: Simplify right side
    236,355x = 125,814,572,912.25
  5. Step 5: Solve for x
    x = 125,814,572,912.25/236,355
  6. Step 6: Final answer
    x = 532,311.87

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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.