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Finding the Third Proportional to 110,242.13 and 241,503.38

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Solution

The third proportional to 110,242.13 and 241,503.38 is: 529,052.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,242.13 : 241,503.38 = 241,503.38 : x
  2. Step 2: Convert to fraction form
    110,242.13/241,503.38 = 241,503.38/x
  3. Step 3: Cross multiply
    110,242.13x = 241,503.38 × 241,503.38
  4. Step 4: Simplify right side
    110,242.13x = 58,323,880,136.39
  5. Step 5: Solve for x
    x = 58,323,880,136.39/110,242.13
  6. Step 6: Final answer
    x = 529,052.58

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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.