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Finding the Third Proportional to 175,827 and 385,350

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Solution

The third proportional to 175,827 and 385,350 is: 844,549.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,827 : 385,350 = 385,350 : x
  2. Step 2: Convert to fraction form
    175,827/385,350 = 385,350/x
  3. Step 3: Cross multiply
    175,827x = 385,350 × 385,350
  4. Step 4: Simplify right side
    175,827x = 148,494,622,500
  5. Step 5: Solve for x
    x = 148,494,622,500/175,827
  6. Step 6: Final answer
    x = 844,549.60

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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.