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Finding the Third Proportional to 241,666 and 355,097

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Solution

The third proportional to 241,666 and 355,097 is: 521,769.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,666 : 355,097 = 355,097 : x
  2. Step 2: Convert to fraction form
    241,666/355,097 = 355,097/x
  3. Step 3: Cross multiply
    241,666x = 355,097 × 355,097
  4. Step 4: Simplify right side
    241,666x = 126,093,879,409
  5. Step 5: Solve for x
    x = 126,093,879,409/241,666
  6. Step 6: Final answer
    x = 521,769.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.