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Finding the Third Proportional to 139,469 and 304,858

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Solution

The third proportional to 139,469 and 304,858 is: 666,373.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,469 : 304,858 = 304,858 : x
  2. Step 2: Convert to fraction form
    139,469/304,858 = 304,858/x
  3. Step 3: Cross multiply
    139,469x = 304,858 × 304,858
  4. Step 4: Simplify right side
    139,469x = 92,938,400,164
  5. Step 5: Solve for x
    x = 92,938,400,164/139,469
  6. Step 6: Final answer
    x = 666,373.17

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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.