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Finding the Third Proportional to 98,436 and 230,504

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Solution

The third proportional to 98,436 and 230,504 is: 539,762.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,436 : 230,504 = 230,504 : x
  2. Step 2: Convert to fraction form
    98,436/230,504 = 230,504/x
  3. Step 3: Cross multiply
    98,436x = 230,504 × 230,504
  4. Step 4: Simplify right side
    98,436x = 53,132,094,016
  5. Step 5: Solve for x
    x = 53,132,094,016/98,436
  6. Step 6: Final answer
    x = 539,762.83

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.