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Finding the Third Proportional to 164,413.13 and 341,749.13

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Solution

The third proportional to 164,413.13 and 341,749.13 is: 710,359.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,413.13 : 341,749.13 = 341,749.13 : x
  2. Step 2: Convert to fraction form
    164,413.13/341,749.13 = 341,749.13/x
  3. Step 3: Cross multiply
    164,413.13x = 341,749.13 × 341,749.13
  4. Step 4: Simplify right side
    164,413.13x = 116,792,464,438.27
  5. Step 5: Solve for x
    x = 116,792,464,438.27/164,413.13
  6. Step 6: Final answer
    x = 710,359.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.