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Finding the Third Proportional to 146,580 and 298,280

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Solution

The third proportional to 146,580 and 298,280 is: 606,978.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,580 : 298,280 = 298,280 : x
  2. Step 2: Convert to fraction form
    146,580/298,280 = 298,280/x
  3. Step 3: Cross multiply
    146,580x = 298,280 × 298,280
  4. Step 4: Simplify right side
    146,580x = 88,970,958,400
  5. Step 5: Solve for x
    x = 88,970,958,400/146,580
  6. Step 6: Final answer
    x = 606,978.84

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.