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Finding the Third Proportional to 113,504 and 265,104

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Solution

The third proportional to 113,504 and 265,104 is: 619,186.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,504 : 265,104 = 265,104 : x
  2. Step 2: Convert to fraction form
    113,504/265,104 = 265,104/x
  3. Step 3: Cross multiply
    113,504x = 265,104 × 265,104
  4. Step 4: Simplify right side
    113,504x = 70,280,130,816
  5. Step 5: Solve for x
    x = 70,280,130,816/113,504
  6. Step 6: Final answer
    x = 619,186.38

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.