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Finding the Third Proportional to 181,372 and 377,459

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Solution

The third proportional to 181,372 and 377,459 is: 785,541.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,372 : 377,459 = 377,459 : x
  2. Step 2: Convert to fraction form
    181,372/377,459 = 377,459/x
  3. Step 3: Cross multiply
    181,372x = 377,459 × 377,459
  4. Step 4: Simplify right side
    181,372x = 142,475,296,681
  5. Step 5: Solve for x
    x = 142,475,296,681/181,372
  6. Step 6: Final answer
    x = 785,541.85

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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.