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Finding the Third Proportional to 175,034 and 383,968

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Solution

The third proportional to 175,034 and 383,968 is: 842,301.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,034 : 383,968 = 383,968 : x
  2. Step 2: Convert to fraction form
    175,034/383,968 = 383,968/x
  3. Step 3: Cross multiply
    175,034x = 383,968 × 383,968
  4. Step 4: Simplify right side
    175,034x = 147,431,425,024
  5. Step 5: Solve for x
    x = 147,431,425,024/175,034
  6. Step 6: Final answer
    x = 842,301.64

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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.