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Finding the Third Proportional to 74,342 and 163,444

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Solution

The third proportional to 74,342 and 163,444 is: 359,338.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,342 : 163,444 = 163,444 : x
  2. Step 2: Convert to fraction form
    74,342/163,444 = 163,444/x
  3. Step 3: Cross multiply
    74,342x = 163,444 × 163,444
  4. Step 4: Simplify right side
    74,342x = 26,713,941,136
  5. Step 5: Solve for x
    x = 26,713,941,136/74,342
  6. Step 6: Final answer
    x = 359,338.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.