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Finding the Third Proportional to 74,322 and 160,308

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Solution

The third proportional to 74,322 and 160,308 is: 345,774.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,322 : 160,308 = 160,308 : x
  2. Step 2: Convert to fraction form
    74,322/160,308 = 160,308/x
  3. Step 3: Cross multiply
    74,322x = 160,308 × 160,308
  4. Step 4: Simplify right side
    74,322x = 25,698,654,864
  5. Step 5: Solve for x
    x = 25,698,654,864/74,322
  6. Step 6: Final answer
    x = 345,774.53

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.