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Finding the Third Proportional to 236,403 and 353,769.75

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Solution

The third proportional to 236,403 and 353,769.75 is: 529,405.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,403 : 353,769.75 = 353,769.75 : x
  2. Step 2: Convert to fraction form
    236,403/353,769.75 = 353,769.75/x
  3. Step 3: Cross multiply
    236,403x = 353,769.75 × 353,769.75
  4. Step 4: Simplify right side
    236,403x = 125,153,036,015.06
  5. Step 5: Solve for x
    x = 125,153,036,015.06/236,403
  6. Step 6: Final answer
    x = 529,405.45

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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.