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Finding the Third Proportional to 219,413.81 and 349,104.94

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Solution

The third proportional to 219,413.81 and 349,104.94 is: 555,453.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,413.81 : 349,104.94 = 349,104.94 : x
  2. Step 2: Convert to fraction form
    219,413.81/349,104.94 = 349,104.94/x
  3. Step 3: Cross multiply
    219,413.81x = 349,104.94 × 349,104.94
  4. Step 4: Simplify right side
    219,413.81x = 121,874,257,386.88
  5. Step 5: Solve for x
    x = 121,874,257,386.88/219,413.81
  6. Step 6: Final answer
    x = 555,453.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.