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Finding the Third Proportional to 161,716 and 245,838

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Solution

The third proportional to 161,716 and 245,838 is: 373,718.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,716 : 245,838 = 245,838 : x
  2. Step 2: Convert to fraction form
    161,716/245,838 = 245,838/x
  3. Step 3: Cross multiply
    161,716x = 245,838 × 245,838
  4. Step 4: Simplify right side
    161,716x = 60,436,322,244
  5. Step 5: Solve for x
    x = 60,436,322,244/161,716
  6. Step 6: Final answer
    x = 373,718.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.