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Finding the Third Proportional to 139,178 and 298,030

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Solution

The third proportional to 139,178 and 298,030 is: 638,189.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,178 : 298,030 = 298,030 : x
  2. Step 2: Convert to fraction form
    139,178/298,030 = 298,030/x
  3. Step 3: Cross multiply
    139,178x = 298,030 × 298,030
  4. Step 4: Simplify right side
    139,178x = 88,821,880,900
  5. Step 5: Solve for x
    x = 88,821,880,900/139,178
  6. Step 6: Final answer
    x = 638,189.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.