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Finding the Third Proportional to 74,335 and 160,333

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Solution

The third proportional to 74,335 and 160,333 is: 345,821.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,335 : 160,333 = 160,333 : x
  2. Step 2: Convert to fraction form
    74,335/160,333 = 160,333/x
  3. Step 3: Cross multiply
    74,335x = 160,333 × 160,333
  4. Step 4: Simplify right side
    74,335x = 25,706,670,889
  5. Step 5: Solve for x
    x = 25,706,670,889/74,335
  6. Step 6: Final answer
    x = 345,821.90

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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.