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Finding the Third Proportional to 74,214 and 157,284

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Solution

The third proportional to 74,214 and 157,284 is: 333,336.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,214 : 157,284 = 157,284 : x
  2. Step 2: Convert to fraction form
    74,214/157,284 = 157,284/x
  3. Step 3: Cross multiply
    74,214x = 157,284 × 157,284
  4. Step 4: Simplify right side
    74,214x = 24,738,256,656
  5. Step 5: Solve for x
    x = 24,738,256,656/74,214
  6. Step 6: Final answer
    x = 333,336.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.