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Finding the Third Proportional to 108,443.25 and 234,987.75

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Solution

The third proportional to 108,443.25 and 234,987.75 is: 509,199.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,443.25 : 234,987.75 = 234,987.75 : x
  2. Step 2: Convert to fraction form
    108,443.25/234,987.75 = 234,987.75/x
  3. Step 3: Cross multiply
    108,443.25x = 234,987.75 × 234,987.75
  4. Step 4: Simplify right side
    108,443.25x = 55,219,242,650.06
  5. Step 5: Solve for x
    x = 55,219,242,650.06/108,443.25
  6. Step 6: Final answer
    x = 509,199.44

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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.