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Finding the Third Proportional to 179,302 and 390,144

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Solution

The third proportional to 179,302 and 390,144 is: 848,916.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,302 : 390,144 = 390,144 : x
  2. Step 2: Convert to fraction form
    179,302/390,144 = 390,144/x
  3. Step 3: Cross multiply
    179,302x = 390,144 × 390,144
  4. Step 4: Simplify right side
    179,302x = 152,212,340,736
  5. Step 5: Solve for x
    x = 152,212,340,736/179,302
  6. Step 6: Final answer
    x = 848,916.02

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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.