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Finding the Third Proportional to 108,630 and 233,187.75

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Solution

The third proportional to 108,630 and 233,187.75 is: 500,566.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,630 : 233,187.75 = 233,187.75 : x
  2. Step 2: Convert to fraction form
    108,630/233,187.75 = 233,187.75/x
  3. Step 3: Cross multiply
    108,630x = 233,187.75 × 233,187.75
  4. Step 4: Simplify right side
    108,630x = 54,376,526,750.06
  5. Step 5: Solve for x
    x = 54,376,526,750.06/108,630
  6. Step 6: Final answer
    x = 500,566.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.