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Finding the Third Proportional to 153,263 and 334,116

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Solution

The third proportional to 153,263 and 334,116 is: 728,378.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,263 : 334,116 = 334,116 : x
  2. Step 2: Convert to fraction form
    153,263/334,116 = 334,116/x
  3. Step 3: Cross multiply
    153,263x = 334,116 × 334,116
  4. Step 4: Simplify right side
    153,263x = 111,633,501,456
  5. Step 5: Solve for x
    x = 111,633,501,456/153,263
  6. Step 6: Final answer
    x = 728,378.68

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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.