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Finding the Third Proportional to 175,301 and 383,771

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Solution

The third proportional to 175,301 and 383,771 is: 840,155.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,301 : 383,771 = 383,771 : x
  2. Step 2: Convert to fraction form
    175,301/383,771 = 383,771/x
  3. Step 3: Cross multiply
    175,301x = 383,771 × 383,771
  4. Step 4: Simplify right side
    175,301x = 147,280,180,441
  5. Step 5: Solve for x
    x = 147,280,180,441/175,301
  6. Step 6: Final answer
    x = 840,155.96

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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.