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Finding the Third Proportional to 175,824 and 385,182

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Solution

The third proportional to 175,824 and 385,182 is: 843,827.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,824 : 385,182 = 385,182 : x
  2. Step 2: Convert to fraction form
    175,824/385,182 = 385,182/x
  3. Step 3: Cross multiply
    175,824x = 385,182 × 385,182
  4. Step 4: Simplify right side
    175,824x = 148,365,173,124
  5. Step 5: Solve for x
    x = 148,365,173,124/175,824
  6. Step 6: Final answer
    x = 843,827.77

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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.