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Finding the Third Proportional to 182,210 and 392,100

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Solution

The third proportional to 182,210 and 392,100 is: 843,764.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,210 : 392,100 = 392,100 : x
  2. Step 2: Convert to fraction form
    182,210/392,100 = 392,100/x
  3. Step 3: Cross multiply
    182,210x = 392,100 × 392,100
  4. Step 4: Simplify right side
    182,210x = 153,742,410,000
  5. Step 5: Solve for x
    x = 153,742,410,000/182,210
  6. Step 6: Final answer
    x = 843,764.94

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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.