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Finding the Third Proportional to 74,308 and 160,226

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Solution

The third proportional to 74,308 and 160,226 is: 345,485.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,308 : 160,226 = 160,226 : x
  2. Step 2: Convert to fraction form
    74,308/160,226 = 160,226/x
  3. Step 3: Cross multiply
    74,308x = 160,226 × 160,226
  4. Step 4: Simplify right side
    74,308x = 25,672,371,076
  5. Step 5: Solve for x
    x = 25,672,371,076/74,308
  6. Step 6: Final answer
    x = 345,485.96

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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.