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Finding the Third Proportional to 105,504 and 230,592

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Solution

The third proportional to 105,504 and 230,592 is: 503,987.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,504 : 230,592 = 230,592 : x
  2. Step 2: Convert to fraction form
    105,504/230,592 = 230,592/x
  3. Step 3: Cross multiply
    105,504x = 230,592 × 230,592
  4. Step 4: Simplify right side
    105,504x = 53,172,670,464
  5. Step 5: Solve for x
    x = 53,172,670,464/105,504
  6. Step 6: Final answer
    x = 503,987.25

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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.