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Finding the Third Proportional to 179,298 and 390,138

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Solution

The third proportional to 179,298 and 390,138 is: 848,908.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,298 : 390,138 = 390,138 : x
  2. Step 2: Convert to fraction form
    179,298/390,138 = 390,138/x
  3. Step 3: Cross multiply
    179,298x = 390,138 × 390,138
  4. Step 4: Simplify right side
    179,298x = 152,207,659,044
  5. Step 5: Solve for x
    x = 152,207,659,044/179,298
  6. Step 6: Final answer
    x = 848,908.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.