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Finding the Third Proportional to 161,493 and 377,205

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Solution

The third proportional to 161,493 and 377,205 is: 881,051.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,493 : 377,205 = 377,205 : x
  2. Step 2: Convert to fraction form
    161,493/377,205 = 377,205/x
  3. Step 3: Cross multiply
    161,493x = 377,205 × 377,205
  4. Step 4: Simplify right side
    161,493x = 142,283,612,025
  5. Step 5: Solve for x
    x = 142,283,612,025/161,493
  6. Step 6: Final answer
    x = 881,051.27

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.