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Finding the Third Proportional to 121,007 and 263,008

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Solution

The third proportional to 121,007 and 263,008 is: 571,646.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,007 : 263,008 = 263,008 : x
  2. Step 2: Convert to fraction form
    121,007/263,008 = 263,008/x
  3. Step 3: Cross multiply
    121,007x = 263,008 × 263,008
  4. Step 4: Simplify right side
    121,007x = 69,173,208,064
  5. Step 5: Solve for x
    x = 69,173,208,064/121,007
  6. Step 6: Final answer
    x = 571,646.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.