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Finding the Third Proportional to 211,740.75 and 452,189.25

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Solution

The third proportional to 211,740.75 and 452,189.25 is: 965,686.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,740.75 : 452,189.25 = 452,189.25 : x
  2. Step 2: Convert to fraction form
    211,740.75/452,189.25 = 452,189.25/x
  3. Step 3: Cross multiply
    211,740.75x = 452,189.25 × 452,189.25
  4. Step 4: Simplify right side
    211,740.75x = 204,475,117,815.56
  5. Step 5: Solve for x
    x = 204,475,117,815.56/211,740.75
  6. Step 6: Final answer
    x = 965,686.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.