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Finding the Third Proportional to 175,351 and 383,514

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Solution

The third proportional to 175,351 and 383,514 is: 838,791.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,351 : 383,514 = 383,514 : x
  2. Step 2: Convert to fraction form
    175,351/383,514 = 383,514/x
  3. Step 3: Cross multiply
    175,351x = 383,514 × 383,514
  4. Step 4: Simplify right side
    175,351x = 147,082,988,196
  5. Step 5: Solve for x
    x = 147,082,988,196/175,351
  6. Step 6: Final answer
    x = 838,791.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.