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Finding the Third Proportional to 185,042 and 384,628

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Solution

The third proportional to 185,042 and 384,628 is: 799,487.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,042 : 384,628 = 384,628 : x
  2. Step 2: Convert to fraction form
    185,042/384,628 = 384,628/x
  3. Step 3: Cross multiply
    185,042x = 384,628 × 384,628
  4. Step 4: Simplify right side
    185,042x = 147,938,698,384
  5. Step 5: Solve for x
    x = 147,938,698,384/185,042
  6. Step 6: Final answer
    x = 799,487.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.