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Finding the Third Proportional to 201,998 and 299,092.50

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Solution

The third proportional to 201,998 and 299,092.50 is: 442,857.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,998 : 299,092.50 = 299,092.50 : x
  2. Step 2: Convert to fraction form
    201,998/299,092.50 = 299,092.50/x
  3. Step 3: Cross multiply
    201,998x = 299,092.50 × 299,092.50
  4. Step 4: Simplify right side
    201,998x = 89,456,323,556.25
  5. Step 5: Solve for x
    x = 89,456,323,556.25/201,998
  6. Step 6: Final answer
    x = 442,857.47

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.