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Finding the Third Proportional to 74,316 and 160,242

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Solution

The third proportional to 74,316 and 160,242 is: 345,517.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,316 : 160,242 = 160,242 : x
  2. Step 2: Convert to fraction form
    74,316/160,242 = 160,242/x
  3. Step 3: Cross multiply
    74,316x = 160,242 × 160,242
  4. Step 4: Simplify right side
    74,316x = 25,677,498,564
  5. Step 5: Solve for x
    x = 25,677,498,564/74,316
  6. Step 6: Final answer
    x = 345,517.77

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Why These Related Problems?

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