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Finding the Third Proportional to 233,169.75 and 502,017.75

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Solution

The third proportional to 233,169.75 and 502,017.75 is: 1,080,851.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,169.75 : 502,017.75 = 502,017.75 : x
  2. Step 2: Convert to fraction form
    233,169.75/502,017.75 = 502,017.75/x
  3. Step 3: Cross multiply
    233,169.75x = 502,017.75 × 502,017.75
  4. Step 4: Simplify right side
    233,169.75x = 252,021,821,315.06
  5. Step 5: Solve for x
    x = 252,021,821,315.06/233,169.75
  6. Step 6: Final answer
    x = 1,080,851.27

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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.