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Finding the Third Proportional to 131,846 and 273,034

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Solution

The third proportional to 131,846 and 273,034 is: 565,413.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,846 : 273,034 = 273,034 : x
  2. Step 2: Convert to fraction form
    131,846/273,034 = 273,034/x
  3. Step 3: Cross multiply
    131,846x = 273,034 × 273,034
  4. Step 4: Simplify right side
    131,846x = 74,547,565,156
  5. Step 5: Solve for x
    x = 74,547,565,156/131,846
  6. Step 6: Final answer
    x = 565,413.93

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.