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Finding the Third Proportional to 115,534 and 248,258

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Solution

The third proportional to 115,534 and 248,258 is: 533,453.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,534 : 248,258 = 248,258 : x
  2. Step 2: Convert to fraction form
    115,534/248,258 = 248,258/x
  3. Step 3: Cross multiply
    115,534x = 248,258 × 248,258
  4. Step 4: Simplify right side
    115,534x = 61,632,034,564
  5. Step 5: Solve for x
    x = 61,632,034,564/115,534
  6. Step 6: Final answer
    x = 533,453.65

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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.