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Finding the Third Proportional to 175,305 and 383,958

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Solution

The third proportional to 175,305 and 383,958 is: 840,955.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,305 : 383,958 = 383,958 : x
  2. Step 2: Convert to fraction form
    175,305/383,958 = 383,958/x
  3. Step 3: Cross multiply
    175,305x = 383,958 × 383,958
  4. Step 4: Simplify right side
    175,305x = 147,423,745,764
  5. Step 5: Solve for x
    x = 147,423,745,764/175,305
  6. Step 6: Final answer
    x = 840,955.74

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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.