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Finding the Third Proportional to 243,198 and 363,820.50

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Solution

The third proportional to 243,198 and 363,820.50 is: 544,269.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,198 : 363,820.50 = 363,820.50 : x
  2. Step 2: Convert to fraction form
    243,198/363,820.50 = 363,820.50/x
  3. Step 3: Cross multiply
    243,198x = 363,820.50 × 363,820.50
  4. Step 4: Simplify right side
    243,198x = 132,365,356,220.25
  5. Step 5: Solve for x
    x = 132,365,356,220.25/243,198
  6. Step 6: Final answer
    x = 544,269.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.