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Finding the Third Proportional to 243,783 and 297,850.50

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Solution

The third proportional to 243,783 and 297,850.50 is: 363,909.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,783 : 297,850.50 = 297,850.50 : x
  2. Step 2: Convert to fraction form
    243,783/297,850.50 = 297,850.50/x
  3. Step 3: Cross multiply
    243,783x = 297,850.50 × 297,850.50
  4. Step 4: Simplify right side
    243,783x = 88,714,920,350.25
  5. Step 5: Solve for x
    x = 88,714,920,350.25/243,783
  6. Step 6: Final answer
    x = 363,909.38

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These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.