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Finding the Third Proportional to 214,036.80 and 461,186.16

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Solution

The third proportional to 214,036.80 and 461,186.16 is: 993,720.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,036.80 : 461,186.16 = 461,186.16 : x
  2. Step 2: Convert to fraction form
    214,036.80/461,186.16 = 461,186.16/x
  3. Step 3: Cross multiply
    214,036.80x = 461,186.16 × 461,186.16
  4. Step 4: Simplify right side
    214,036.80x = 212,692,670,716.65
  5. Step 5: Solve for x
    x = 212,692,670,716.65/214,036.80
  6. Step 6: Final answer
    x = 993,720.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.