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Finding the Third Proportional to 155,539 and 233,257

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Solution

The third proportional to 155,539 and 233,257 is: 349,808.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,539 : 233,257 = 233,257 : x
  2. Step 2: Convert to fraction form
    155,539/233,257 = 233,257/x
  3. Step 3: Cross multiply
    155,539x = 233,257 × 233,257
  4. Step 4: Simplify right side
    155,539x = 54,408,828,049
  5. Step 5: Solve for x
    x = 54,408,828,049/155,539
  6. Step 6: Final answer
    x = 349,808.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.