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Finding the Third Proportional to 158,114 and 373,234

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Solution

The third proportional to 158,114 and 373,234 is: 881,032.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,114 : 373,234 = 373,234 : x
  2. Step 2: Convert to fraction form
    158,114/373,234 = 373,234/x
  3. Step 3: Cross multiply
    158,114x = 373,234 × 373,234
  4. Step 4: Simplify right side
    158,114x = 139,303,618,756
  5. Step 5: Solve for x
    x = 139,303,618,756/158,114
  6. Step 6: Final answer
    x = 881,032.79

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.