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Finding the Third Proportional to 175,393 and 385,778

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Solution

The third proportional to 175,393 and 385,778 is: 848,521.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,393 : 385,778 = 385,778 : x
  2. Step 2: Convert to fraction form
    175,393/385,778 = 385,778/x
  3. Step 3: Cross multiply
    175,393x = 385,778 × 385,778
  4. Step 4: Simplify right side
    175,393x = 148,824,665,284
  5. Step 5: Solve for x
    x = 148,824,665,284/175,393
  6. Step 6: Final answer
    x = 848,521.12

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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.