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Finding the Third Proportional to 147,968 and 226,920

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Solution

The third proportional to 147,968 and 226,920 is: 347,998.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,968 : 226,920 = 226,920 : x
  2. Step 2: Convert to fraction form
    147,968/226,920 = 226,920/x
  3. Step 3: Cross multiply
    147,968x = 226,920 × 226,920
  4. Step 4: Simplify right side
    147,968x = 51,492,686,400
  5. Step 5: Solve for x
    x = 51,492,686,400/147,968
  6. Step 6: Final answer
    x = 347,998.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.