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Finding the Third Proportional to 121,904 and 266,592

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Solution

The third proportional to 121,904 and 266,592 is: 583,010.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,904 : 266,592 = 266,592 : x
  2. Step 2: Convert to fraction form
    121,904/266,592 = 266,592/x
  3. Step 3: Cross multiply
    121,904x = 266,592 × 266,592
  4. Step 4: Simplify right side
    121,904x = 71,071,294,464
  5. Step 5: Solve for x
    x = 71,071,294,464/121,904
  6. Step 6: Final answer
    x = 583,010.36

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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.