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Finding the Third Proportional to 161,406 and 248,913

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Solution

The third proportional to 161,406 and 248,913 is: 383,862.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,406 : 248,913 = 248,913 : x
  2. Step 2: Convert to fraction form
    161,406/248,913 = 248,913/x
  3. Step 3: Cross multiply
    161,406x = 248,913 × 248,913
  4. Step 4: Simplify right side
    161,406x = 61,957,681,569
  5. Step 5: Solve for x
    x = 61,957,681,569/161,406
  6. Step 6: Final answer
    x = 383,862.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.