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Finding the Third Proportional to 111,698 and 243,054

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Solution

The third proportional to 111,698 and 243,054 is: 528,883.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,698 : 243,054 = 243,054 : x
  2. Step 2: Convert to fraction form
    111,698/243,054 = 243,054/x
  3. Step 3: Cross multiply
    111,698x = 243,054 × 243,054
  4. Step 4: Simplify right side
    111,698x = 59,075,246,916
  5. Step 5: Solve for x
    x = 59,075,246,916/111,698
  6. Step 6: Final answer
    x = 528,883.66

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