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Finding the Third Proportional to 155,259 and 334,302

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Solution

The third proportional to 155,259 and 334,302 is: 719,815.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,259 : 334,302 = 334,302 : x
  2. Step 2: Convert to fraction form
    155,259/334,302 = 334,302/x
  3. Step 3: Cross multiply
    155,259x = 334,302 × 334,302
  4. Step 4: Simplify right side
    155,259x = 111,757,827,204
  5. Step 5: Solve for x
    x = 111,757,827,204/155,259
  6. Step 6: Final answer
    x = 719,815.45

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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.