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Finding the Third Proportional to 74,184 and 163,200

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Solution

The third proportional to 74,184 and 163,200 is: 359,029.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,184 : 163,200 = 163,200 : x
  2. Step 2: Convert to fraction form
    74,184/163,200 = 163,200/x
  3. Step 3: Cross multiply
    74,184x = 163,200 × 163,200
  4. Step 4: Simplify right side
    74,184x = 26,634,240,000
  5. Step 5: Solve for x
    x = 26,634,240,000/74,184
  6. Step 6: Final answer
    x = 359,029.44

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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.