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Finding the Third Proportional to 105,349 and 223,088

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Solution

The third proportional to 105,349 and 223,088 is: 472,413.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,349 : 223,088 = 223,088 : x
  2. Step 2: Convert to fraction form
    105,349/223,088 = 223,088/x
  3. Step 3: Cross multiply
    105,349x = 223,088 × 223,088
  4. Step 4: Simplify right side
    105,349x = 49,768,255,744
  5. Step 5: Solve for x
    x = 49,768,255,744/105,349
  6. Step 6: Final answer
    x = 472,413.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.