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Finding the Third Proportional to 193,210 and 414,984

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Solution

The third proportional to 193,210 and 414,984 is: 891,318.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,210 : 414,984 = 414,984 : x
  2. Step 2: Convert to fraction form
    193,210/414,984 = 414,984/x
  3. Step 3: Cross multiply
    193,210x = 414,984 × 414,984
  4. Step 4: Simplify right side
    193,210x = 172,211,720,256
  5. Step 5: Solve for x
    x = 172,211,720,256/193,210
  6. Step 6: Final answer
    x = 891,318.88

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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.