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Finding the Third Proportional to 139,058 and 304,251

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Solution

The third proportional to 139,058 and 304,251 is: 665,683.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,058 : 304,251 = 304,251 : x
  2. Step 2: Convert to fraction form
    139,058/304,251 = 304,251/x
  3. Step 3: Cross multiply
    139,058x = 304,251 × 304,251
  4. Step 4: Simplify right side
    139,058x = 92,568,671,001
  5. Step 5: Solve for x
    x = 92,568,671,001/139,058
  6. Step 6: Final answer
    x = 665,683.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.