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Finding the Third Proportional to 199,826.50 and 418,127

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Solution

The third proportional to 199,826.50 and 418,127 is: 874,909.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,826.50 : 418,127 = 418,127 : x
  2. Step 2: Convert to fraction form
    199,826.50/418,127 = 418,127/x
  3. Step 3: Cross multiply
    199,826.50x = 418,127 × 418,127
  4. Step 4: Simplify right side
    199,826.50x = 174,830,188,129
  5. Step 5: Solve for x
    x = 174,830,188,129/199,826.50
  6. Step 6: Final answer
    x = 874,909.93

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.