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Finding the Third Proportional to 175,464 and 385,912

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Solution

The third proportional to 175,464 and 385,912 is: 848,767.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,464 : 385,912 = 385,912 : x
  2. Step 2: Convert to fraction form
    175,464/385,912 = 385,912/x
  3. Step 3: Cross multiply
    175,464x = 385,912 × 385,912
  4. Step 4: Simplify right side
    175,464x = 148,928,071,744
  5. Step 5: Solve for x
    x = 148,928,071,744/175,464
  6. Step 6: Final answer
    x = 848,767.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.