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Finding the Third Proportional to 238,408.88 and 357,612.75

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Solution

The third proportional to 238,408.88 and 357,612.75 is: 536,418.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,408.88 : 357,612.75 = 357,612.75 : x
  2. Step 2: Convert to fraction form
    238,408.88/357,612.75 = 357,612.75/x
  3. Step 3: Cross multiply
    238,408.88x = 357,612.75 × 357,612.75
  4. Step 4: Simplify right side
    238,408.88x = 127,886,878,962.56
  5. Step 5: Solve for x
    x = 127,886,878,962.56/238,408.88
  6. Step 6: Final answer
    x = 536,418.28

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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.