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Finding the Third Proportional to 179,793 and 390,690

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Solution

The third proportional to 179,793 and 390,690 is: 848,968.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,793 : 390,690 = 390,690 : x
  2. Step 2: Convert to fraction form
    179,793/390,690 = 390,690/x
  3. Step 3: Cross multiply
    179,793x = 390,690 × 390,690
  4. Step 4: Simplify right side
    179,793x = 152,638,676,100
  5. Step 5: Solve for x
    x = 152,638,676,100/179,793
  6. Step 6: Final answer
    x = 848,968.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.