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Finding the Third Proportional to 161,724 and 248,235

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Solution

The third proportional to 161,724 and 248,235 is: 381,023.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,724 : 248,235 = 248,235 : x
  2. Step 2: Convert to fraction form
    161,724/248,235 = 248,235/x
  3. Step 3: Cross multiply
    161,724x = 248,235 × 248,235
  4. Step 4: Simplify right side
    161,724x = 61,620,615,225
  5. Step 5: Solve for x
    x = 61,620,615,225/161,724
  6. Step 6: Final answer
    x = 381,023.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.