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Finding the Third Proportional to 74,284 and 162,178

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Solution

The third proportional to 74,284 and 162,178 is: 354,069.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,284 : 162,178 = 162,178 : x
  2. Step 2: Convert to fraction form
    74,284/162,178 = 162,178/x
  3. Step 3: Cross multiply
    74,284x = 162,178 × 162,178
  4. Step 4: Simplify right side
    74,284x = 26,301,703,684
  5. Step 5: Solve for x
    x = 26,301,703,684/74,284
  6. Step 6: Final answer
    x = 354,069.57

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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.