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Finding the Third Proportional to 155,853 and 338,274

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Solution

The third proportional to 155,853 and 338,274 is: 734,213.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,853 : 338,274 = 338,274 : x
  2. Step 2: Convert to fraction form
    155,853/338,274 = 338,274/x
  3. Step 3: Cross multiply
    155,853x = 338,274 × 338,274
  4. Step 4: Simplify right side
    155,853x = 114,429,299,076
  5. Step 5: Solve for x
    x = 114,429,299,076/155,853
  6. Step 6: Final answer
    x = 734,213.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.