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Finding the Third Proportional to 74,288 and 162,176

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Solution

The third proportional to 74,288 and 162,176 is: 354,041.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,288 : 162,176 = 162,176 : x
  2. Step 2: Convert to fraction form
    74,288/162,176 = 162,176/x
  3. Step 3: Cross multiply
    74,288x = 162,176 × 162,176
  4. Step 4: Simplify right side
    74,288x = 26,301,054,976
  5. Step 5: Solve for x
    x = 26,301,054,976/74,288
  6. Step 6: Final answer
    x = 354,041.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.