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Finding the Third Proportional to 175,504 and 385,168

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Solution

The third proportional to 175,504 and 385,168 is: 845,304.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,504 : 385,168 = 385,168 : x
  2. Step 2: Convert to fraction form
    175,504/385,168 = 385,168/x
  3. Step 3: Cross multiply
    175,504x = 385,168 × 385,168
  4. Step 4: Simplify right side
    175,504x = 148,354,388,224
  5. Step 5: Solve for x
    x = 148,354,388,224/175,504
  6. Step 6: Final answer
    x = 845,304.88

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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.