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Finding the Third Proportional to 161,669 and 244,739

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Solution

The third proportional to 161,669 and 244,739 is: 370,492.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,669 : 244,739 = 244,739 : x
  2. Step 2: Convert to fraction form
    161,669/244,739 = 244,739/x
  3. Step 3: Cross multiply
    161,669x = 244,739 × 244,739
  4. Step 4: Simplify right side
    161,669x = 59,897,178,121
  5. Step 5: Solve for x
    x = 59,897,178,121/161,669
  6. Step 6: Final answer
    x = 370,492.66

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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.