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Finding the Third Proportional to 185,376.50 and 404,732

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Solution

The third proportional to 185,376.50 and 404,732 is: 883,650.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,376.50 : 404,732 = 404,732 : x
  2. Step 2: Convert to fraction form
    185,376.50/404,732 = 404,732/x
  3. Step 3: Cross multiply
    185,376.50x = 404,732 × 404,732
  4. Step 4: Simplify right side
    185,376.50x = 163,807,991,824
  5. Step 5: Solve for x
    x = 163,807,991,824/185,376.50
  6. Step 6: Final answer
    x = 883,650.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.