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Finding the Third Proportional to 179,853 and 364,749

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Solution

The third proportional to 179,853 and 364,749 is: 739,725.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,853 : 364,749 = 364,749 : x
  2. Step 2: Convert to fraction form
    179,853/364,749 = 364,749/x
  3. Step 3: Cross multiply
    179,853x = 364,749 × 364,749
  4. Step 4: Simplify right side
    179,853x = 133,041,833,001
  5. Step 5: Solve for x
    x = 133,041,833,001/179,853
  6. Step 6: Final answer
    x = 739,725.40

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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.