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Finding the Third Proportional to 175,928 and 383,432

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Solution

The third proportional to 175,928 and 383,432 is: 835,683.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,928 : 383,432 = 383,432 : x
  2. Step 2: Convert to fraction form
    175,928/383,432 = 383,432/x
  3. Step 3: Cross multiply
    175,928x = 383,432 × 383,432
  4. Step 4: Simplify right side
    175,928x = 147,020,098,624
  5. Step 5: Solve for x
    x = 147,020,098,624/175,928
  6. Step 6: Final answer
    x = 835,683.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.