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Finding the Third Proportional to 163,122 and 241,651

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Solution

The third proportional to 163,122 and 241,651 is: 357,984.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,122 : 241,651 = 241,651 : x
  2. Step 2: Convert to fraction form
    163,122/241,651 = 241,651/x
  3. Step 3: Cross multiply
    163,122x = 241,651 × 241,651
  4. Step 4: Simplify right side
    163,122x = 58,395,205,801
  5. Step 5: Solve for x
    x = 58,395,205,801/163,122
  6. Step 6: Final answer
    x = 357,984.86

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.