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Finding the Third Proportional to 131,844 and 273,033

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Solution

The third proportional to 131,844 and 273,033 is: 565,418.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,844 : 273,033 = 273,033 : x
  2. Step 2: Convert to fraction form
    131,844/273,033 = 273,033/x
  3. Step 3: Cross multiply
    131,844x = 273,033 × 273,033
  4. Step 4: Simplify right side
    131,844x = 74,547,019,089
  5. Step 5: Solve for x
    x = 74,547,019,089/131,844
  6. Step 6: Final answer
    x = 565,418.37

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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.