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Finding the Third Proportional to 175,257 and 382,946

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Solution

The third proportional to 175,257 and 382,946 is: 836,757.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,257 : 382,946 = 382,946 : x
  2. Step 2: Convert to fraction form
    175,257/382,946 = 382,946/x
  3. Step 3: Cross multiply
    175,257x = 382,946 × 382,946
  4. Step 4: Simplify right side
    175,257x = 146,647,638,916
  5. Step 5: Solve for x
    x = 146,647,638,916/175,257
  6. Step 6: Final answer
    x = 836,757.67

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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.