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Finding the Third Proportional to 181,375 and 377,464

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Solution

The third proportional to 181,375 and 377,464 is: 785,549.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,375 : 377,464 = 377,464 : x
  2. Step 2: Convert to fraction form
    181,375/377,464 = 377,464/x
  3. Step 3: Cross multiply
    181,375x = 377,464 × 377,464
  4. Step 4: Simplify right side
    181,375x = 142,479,071,296
  5. Step 5: Solve for x
    x = 142,479,071,296/181,375
  6. Step 6: Final answer
    x = 785,549.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.