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Finding the Third Proportional to 163,108 and 238,368

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Solution

The third proportional to 163,108 and 238,368 is: 348,353.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,108 : 238,368 = 238,368 : x
  2. Step 2: Convert to fraction form
    163,108/238,368 = 238,368/x
  3. Step 3: Cross multiply
    163,108x = 238,368 × 238,368
  4. Step 4: Simplify right side
    163,108x = 56,819,303,424
  5. Step 5: Solve for x
    x = 56,819,303,424/163,108
  6. Step 6: Final answer
    x = 348,353.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.