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Finding the Third Proportional to 161,848 and 245,021

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Solution

The third proportional to 161,848 and 245,021 is: 370,936.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,848 : 245,021 = 245,021 : x
  2. Step 2: Convert to fraction form
    161,848/245,021 = 245,021/x
  3. Step 3: Cross multiply
    161,848x = 245,021 × 245,021
  4. Step 4: Simplify right side
    161,848x = 60,035,290,441
  5. Step 5: Solve for x
    x = 60,035,290,441/161,848
  6. Step 6: Final answer
    x = 370,936.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.