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Finding the Third Proportional to 198,045 and 455,989.50

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Solution

The third proportional to 198,045 and 455,989.50 is: 1,049,894.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,045 : 455,989.50 = 455,989.50 : x
  2. Step 2: Convert to fraction form
    198,045/455,989.50 = 455,989.50/x
  3. Step 3: Cross multiply
    198,045x = 455,989.50 × 455,989.50
  4. Step 4: Simplify right side
    198,045x = 207,926,424,110.25
  5. Step 5: Solve for x
    x = 207,926,424,110.25/198,045
  6. Step 6: Final answer
    x = 1,049,894.84

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.