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Finding the Third Proportional to 212,080.50 and 461,643.75

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Solution

The third proportional to 212,080.50 and 461,643.75 is: 1,004,877.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,080.50 : 461,643.75 = 461,643.75 : x
  2. Step 2: Convert to fraction form
    212,080.50/461,643.75 = 461,643.75/x
  3. Step 3: Cross multiply
    212,080.50x = 461,643.75 × 461,643.75
  4. Step 4: Simplify right side
    212,080.50x = 213,114,951,914.06
  5. Step 5: Solve for x
    x = 213,114,951,914.06/212,080.50
  6. Step 6: Final answer
    x = 1,004,877.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.