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Finding the Third Proportional to 162,022 and 241,363

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Solution

The third proportional to 162,022 and 241,363 is: 359,556.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,022 : 241,363 = 241,363 : x
  2. Step 2: Convert to fraction form
    162,022/241,363 = 241,363/x
  3. Step 3: Cross multiply
    162,022x = 241,363 × 241,363
  4. Step 4: Simplify right side
    162,022x = 58,256,097,769
  5. Step 5: Solve for x
    x = 58,256,097,769/162,022
  6. Step 6: Final answer
    x = 359,556.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.