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Finding the Third Proportional to 155,782 and 233,408

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Solution

The third proportional to 155,782 and 233,408 is: 349,714.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,782 : 233,408 = 233,408 : x
  2. Step 2: Convert to fraction form
    155,782/233,408 = 233,408/x
  3. Step 3: Cross multiply
    155,782x = 233,408 × 233,408
  4. Step 4: Simplify right side
    155,782x = 54,479,294,464
  5. Step 5: Solve for x
    x = 54,479,294,464/155,782
  6. Step 6: Final answer
    x = 349,714.95

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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.