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Finding the Third Proportional to 115,454 and 248,161

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Solution

The third proportional to 115,454 and 248,161 is: 533,406.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,454 : 248,161 = 248,161 : x
  2. Step 2: Convert to fraction form
    115,454/248,161 = 248,161/x
  3. Step 3: Cross multiply
    115,454x = 248,161 × 248,161
  4. Step 4: Simplify right side
    115,454x = 61,583,881,921
  5. Step 5: Solve for x
    x = 61,583,881,921/115,454
  6. Step 6: Final answer
    x = 533,406.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.