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Finding the Third Proportional to 108,465.75 and 233,583.75

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Solution

The third proportional to 108,465.75 and 233,583.75 is: 503,028.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,465.75 : 233,583.75 = 233,583.75 : x
  2. Step 2: Convert to fraction form
    108,465.75/233,583.75 = 233,583.75/x
  3. Step 3: Cross multiply
    108,465.75x = 233,583.75 × 233,583.75
  4. Step 4: Simplify right side
    108,465.75x = 54,561,368,264.06
  5. Step 5: Solve for x
    x = 54,561,368,264.06/108,465.75
  6. Step 6: Final answer
    x = 503,028.54

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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.