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Finding the Third Proportional to 175,038 and 383,961

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Solution

The third proportional to 175,038 and 383,961 is: 842,251.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,038 : 383,961 = 383,961 : x
  2. Step 2: Convert to fraction form
    175,038/383,961 = 383,961/x
  3. Step 3: Cross multiply
    175,038x = 383,961 × 383,961
  4. Step 4: Simplify right side
    175,038x = 147,426,049,521
  5. Step 5: Solve for x
    x = 147,426,049,521/175,038
  6. Step 6: Final answer
    x = 842,251.68

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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.