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Finding the Third Proportional to 241,706 and 364,024

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Solution

The third proportional to 241,706 and 364,024 is: 548,242.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,706 : 364,024 = 364,024 : x
  2. Step 2: Convert to fraction form
    241,706/364,024 = 364,024/x
  3. Step 3: Cross multiply
    241,706x = 364,024 × 364,024
  4. Step 4: Simplify right side
    241,706x = 132,513,472,576
  5. Step 5: Solve for x
    x = 132,513,472,576/241,706
  6. Step 6: Final answer
    x = 548,242.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.