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Finding the Third Proportional to 74,824 and 164,200

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Solution

The third proportional to 74,824 and 164,200 is: 360,334.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,824 : 164,200 = 164,200 : x
  2. Step 2: Convert to fraction form
    74,824/164,200 = 164,200/x
  3. Step 3: Cross multiply
    74,824x = 164,200 × 164,200
  4. Step 4: Simplify right side
    74,824x = 26,961,640,000
  5. Step 5: Solve for x
    x = 26,961,640,000/74,824
  6. Step 6: Final answer
    x = 360,334.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.