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Finding the Third Proportional to 167,408 and 248,216

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Solution

The third proportional to 167,408 and 248,216 is: 368,030.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,408 : 248,216 = 248,216 : x
  2. Step 2: Convert to fraction form
    167,408/248,216 = 248,216/x
  3. Step 3: Cross multiply
    167,408x = 248,216 × 248,216
  4. Step 4: Simplify right side
    167,408x = 61,611,182,656
  5. Step 5: Solve for x
    x = 61,611,182,656/167,408
  6. Step 6: Final answer
    x = 368,030.10

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.