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Finding the Third Proportional to 188,364 and 443,571

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Solution

The third proportional to 188,364 and 443,571 is: 1,044,547.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,364 : 443,571 = 443,571 : x
  2. Step 2: Convert to fraction form
    188,364/443,571 = 443,571/x
  3. Step 3: Cross multiply
    188,364x = 443,571 × 443,571
  4. Step 4: Simplify right side
    188,364x = 196,755,232,041
  5. Step 5: Solve for x
    x = 196,755,232,041/188,364
  6. Step 6: Final answer
    x = 1,044,547.96

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.