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Finding the Third Proportional to 109,817 and 241,018

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Solution

The third proportional to 109,817 and 241,018 is: 528,967.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,817 : 241,018 = 241,018 : x
  2. Step 2: Convert to fraction form
    109,817/241,018 = 241,018/x
  3. Step 3: Cross multiply
    109,817x = 241,018 × 241,018
  4. Step 4: Simplify right side
    109,817x = 58,089,676,324
  5. Step 5: Solve for x
    x = 58,089,676,324/109,817
  6. Step 6: Final answer
    x = 528,967.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.