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Finding the Third Proportional to 208,035 and 304,647.75

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Solution

The third proportional to 208,035 and 304,647.75 is: 446,128.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,035 : 304,647.75 = 304,647.75 : x
  2. Step 2: Convert to fraction form
    208,035/304,647.75 = 304,647.75/x
  3. Step 3: Cross multiply
    208,035x = 304,647.75 × 304,647.75
  4. Step 4: Simplify right side
    208,035x = 92,810,251,580.06
  5. Step 5: Solve for x
    x = 92,810,251,580.06/208,035
  6. Step 6: Final answer
    x = 446,128.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.