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Finding the Third Proportional to 235,872 and 373,672

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Solution

The third proportional to 235,872 and 373,672 is: 591,976.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,872 : 373,672 = 373,672 : x
  2. Step 2: Convert to fraction form
    235,872/373,672 = 373,672/x
  3. Step 3: Cross multiply
    235,872x = 373,672 × 373,672
  4. Step 4: Simplify right side
    235,872x = 139,630,763,584
  5. Step 5: Solve for x
    x = 139,630,763,584/235,872
  6. Step 6: Final answer
    x = 591,976.85

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.