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Finding the Third Proportional to 159,453 and 344,272

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Solution

The third proportional to 159,453 and 344,272 is: 743,311.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,453 : 344,272 = 344,272 : x
  2. Step 2: Convert to fraction form
    159,453/344,272 = 344,272/x
  3. Step 3: Cross multiply
    159,453x = 344,272 × 344,272
  4. Step 4: Simplify right side
    159,453x = 118,523,209,984
  5. Step 5: Solve for x
    x = 118,523,209,984/159,453
  6. Step 6: Final answer
    x = 743,311.26

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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.