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Finding the Third Proportional to 112,920 and 238,368

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Solution

The third proportional to 112,920 and 238,368 is: 503,181.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,920 : 238,368 = 238,368 : x
  2. Step 2: Convert to fraction form
    112,920/238,368 = 238,368/x
  3. Step 3: Cross multiply
    112,920x = 238,368 × 238,368
  4. Step 4: Simplify right side
    112,920x = 56,819,303,424
  5. Step 5: Solve for x
    x = 56,819,303,424/112,920
  6. Step 6: Final answer
    x = 503,181.93

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.