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Finding the Third Proportional to 188,932.50 and 402,894

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Solution

The third proportional to 188,932.50 and 402,894 is: 859,161.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,932.50 : 402,894 = 402,894 : x
  2. Step 2: Convert to fraction form
    188,932.50/402,894 = 402,894/x
  3. Step 3: Cross multiply
    188,932.50x = 402,894 × 402,894
  4. Step 4: Simplify right side
    188,932.50x = 162,323,575,236
  5. Step 5: Solve for x
    x = 162,323,575,236/188,932.50
  6. Step 6: Final answer
    x = 859,161.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.