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Finding the Third Proportional to 185,244 and 385,023

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Solution

The third proportional to 185,244 and 385,023 is: 800,256.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,244 : 385,023 = 385,023 : x
  2. Step 2: Convert to fraction form
    185,244/385,023 = 385,023/x
  3. Step 3: Cross multiply
    185,244x = 385,023 × 385,023
  4. Step 4: Simplify right side
    185,244x = 148,242,710,529
  5. Step 5: Solve for x
    x = 148,242,710,529/185,244
  6. Step 6: Final answer
    x = 800,256.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.