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Finding the Third Proportional to 236,958.75 and 513,819

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Solution

The third proportional to 236,958.75 and 513,819 is: 1,114,160.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,958.75 : 513,819 = 513,819 : x
  2. Step 2: Convert to fraction form
    236,958.75/513,819 = 513,819/x
  3. Step 3: Cross multiply
    236,958.75x = 513,819 × 513,819
  4. Step 4: Simplify right side
    236,958.75x = 264,009,964,761
  5. Step 5: Solve for x
    x = 264,009,964,761/236,958.75
  6. Step 6: Final answer
    x = 1,114,160.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.