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Finding the Third Proportional to 181,357 and 377,433

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Solution

The third proportional to 181,357 and 377,433 is: 785,498.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,357 : 377,433 = 377,433 : x
  2. Step 2: Convert to fraction form
    181,357/377,433 = 377,433/x
  3. Step 3: Cross multiply
    181,357x = 377,433 × 377,433
  4. Step 4: Simplify right side
    181,357x = 142,455,669,489
  5. Step 5: Solve for x
    x = 142,455,669,489/181,357
  6. Step 6: Final answer
    x = 785,498.60

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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.