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Finding the Third Proportional to 233,862.75 and 325,830.38

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Solution

The third proportional to 233,862.75 and 325,830.38 is: 453,964.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,862.75 : 325,830.38 = 325,830.38 : x
  2. Step 2: Convert to fraction form
    233,862.75/325,830.38 = 325,830.38/x
  3. Step 3: Cross multiply
    233,862.75x = 325,830.38 × 325,830.38
  4. Step 4: Simplify right side
    233,862.75x = 106,165,433,272.64
  5. Step 5: Solve for x
    x = 106,165,433,272.64/233,862.75
  6. Step 6: Final answer
    x = 453,964.70

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.