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Finding the Third Proportional to 111,896 and 242,752

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Solution

The third proportional to 111,896 and 242,752 is: 526,636.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,896 : 242,752 = 242,752 : x
  2. Step 2: Convert to fraction form
    111,896/242,752 = 242,752/x
  3. Step 3: Cross multiply
    111,896x = 242,752 × 242,752
  4. Step 4: Simplify right side
    111,896x = 58,928,533,504
  5. Step 5: Solve for x
    x = 58,928,533,504/111,896
  6. Step 6: Final answer
    x = 526,636.64

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.