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Finding the Third Proportional to 111,552 and 238,368

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Solution

The third proportional to 111,552 and 238,368 is: 509,352.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,552 : 238,368 = 238,368 : x
  2. Step 2: Convert to fraction form
    111,552/238,368 = 238,368/x
  3. Step 3: Cross multiply
    111,552x = 238,368 × 238,368
  4. Step 4: Simplify right side
    111,552x = 56,819,303,424
  5. Step 5: Solve for x
    x = 56,819,303,424/111,552
  6. Step 6: Final answer
    x = 509,352.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.