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Finding the Third Proportional to 186,370 and 248,305

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Solution

The third proportional to 186,370 and 248,305 is: 330,822.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,370 : 248,305 = 248,305 : x
  2. Step 2: Convert to fraction form
    186,370/248,305 = 248,305/x
  3. Step 3: Cross multiply
    186,370x = 248,305 × 248,305
  4. Step 4: Simplify right side
    186,370x = 61,655,373,025
  5. Step 5: Solve for x
    x = 61,655,373,025/186,370
  6. Step 6: Final answer
    x = 330,822.41

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.