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Finding the Third Proportional to 233,979.75 and 353,064.38

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Solution

The third proportional to 233,979.75 and 353,064.38 is: 532,757.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,979.75 : 353,064.38 = 353,064.38 : x
  2. Step 2: Convert to fraction form
    233,979.75/353,064.38 = 353,064.38/x
  3. Step 3: Cross multiply
    233,979.75x = 353,064.38 × 353,064.38
  4. Step 4: Simplify right side
    233,979.75x = 124,654,452,894.14
  5. Step 5: Solve for x
    x = 124,654,452,894.14/233,979.75
  6. Step 6: Final answer
    x = 532,757.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.