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Finding the Third Proportional to 185,136.50 and 383,401

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Solution

The third proportional to 185,136.50 and 383,401 is: 793,988.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,136.50 : 383,401 = 383,401 : x
  2. Step 2: Convert to fraction form
    185,136.50/383,401 = 383,401/x
  3. Step 3: Cross multiply
    185,136.50x = 383,401 × 383,401
  4. Step 4: Simplify right side
    185,136.50x = 146,996,326,801
  5. Step 5: Solve for x
    x = 146,996,326,801/185,136.50
  6. Step 6: Final answer
    x = 793,988.90

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.