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Finding the Third Proportional to 175,023 and 383,949

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Solution

The third proportional to 175,023 and 383,949 is: 842,271.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,023 : 383,949 = 383,949 : x
  2. Step 2: Convert to fraction form
    175,023/383,949 = 383,949/x
  3. Step 3: Cross multiply
    175,023x = 383,949 × 383,949
  4. Step 4: Simplify right side
    175,023x = 147,416,834,601
  5. Step 5: Solve for x
    x = 147,416,834,601/175,023
  6. Step 6: Final answer
    x = 842,271.21

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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.