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Finding the Third Proportional to 161,922 and 245,142

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Solution

The third proportional to 161,922 and 245,142 is: 371,133.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,922 : 245,142 = 245,142 : x
  2. Step 2: Convert to fraction form
    161,922/245,142 = 245,142/x
  3. Step 3: Cross multiply
    161,922x = 245,142 × 245,142
  4. Step 4: Simplify right side
    161,922x = 60,094,600,164
  5. Step 5: Solve for x
    x = 60,094,600,164/161,922
  6. Step 6: Final answer
    x = 371,133.02

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