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Finding the Third Proportional to 111,220 and 242,024

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Solution

The third proportional to 111,220 and 242,024 is: 526,664.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,220 : 242,024 = 242,024 : x
  2. Step 2: Convert to fraction form
    111,220/242,024 = 242,024/x
  3. Step 3: Cross multiply
    111,220x = 242,024 × 242,024
  4. Step 4: Simplify right side
    111,220x = 58,575,616,576
  5. Step 5: Solve for x
    x = 58,575,616,576/111,220
  6. Step 6: Final answer
    x = 526,664.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.