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Finding the Third Proportional to 210,015 and 336,890.25

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Solution

The third proportional to 210,015 and 336,890.25 is: 540,413.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,015 : 336,890.25 = 336,890.25 : x
  2. Step 2: Convert to fraction form
    210,015/336,890.25 = 336,890.25/x
  3. Step 3: Cross multiply
    210,015x = 336,890.25 × 336,890.25
  4. Step 4: Simplify right side
    210,015x = 113,495,040,545.06
  5. Step 5: Solve for x
    x = 113,495,040,545.06/210,015
  6. Step 6: Final answer
    x = 540,413.97

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.