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Finding the Third Proportional to 175,302 and 383,952

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Solution

The third proportional to 175,302 and 383,952 is: 840,943.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,302 : 383,952 = 383,952 : x
  2. Step 2: Convert to fraction form
    175,302/383,952 = 383,952/x
  3. Step 3: Cross multiply
    175,302x = 383,952 × 383,952
  4. Step 4: Simplify right side
    175,302x = 147,419,138,304
  5. Step 5: Solve for x
    x = 147,419,138,304/175,302
  6. Step 6: Final answer
    x = 840,943.85

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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.