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Finding the Third Proportional to 179,796 and 390,696

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Solution

The third proportional to 179,796 and 390,696 is: 848,980.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,796 : 390,696 = 390,696 : x
  2. Step 2: Convert to fraction form
    179,796/390,696 = 390,696/x
  3. Step 3: Cross multiply
    179,796x = 390,696 × 390,696
  4. Step 4: Simplify right side
    179,796x = 152,643,364,416
  5. Step 5: Solve for x
    x = 152,643,364,416/179,796
  6. Step 6: Final answer
    x = 848,980.87

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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.