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Finding the Third Proportional to 185,004 and 383,136

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Solution

The third proportional to 185,004 and 383,136 is: 793,459.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,004 : 383,136 = 383,136 : x
  2. Step 2: Convert to fraction form
    185,004/383,136 = 383,136/x
  3. Step 3: Cross multiply
    185,004x = 383,136 × 383,136
  4. Step 4: Simplify right side
    185,004x = 146,793,194,496
  5. Step 5: Solve for x
    x = 146,793,194,496/185,004
  6. Step 6: Final answer
    x = 793,459.57

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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.