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Finding the Third Proportional to 141,403.50 and 333,518.50

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Solution

The third proportional to 141,403.50 and 333,518.50 is: 786,646.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,403.50 : 333,518.50 = 333,518.50 : x
  2. Step 2: Convert to fraction form
    141,403.50/333,518.50 = 333,518.50/x
  3. Step 3: Cross multiply
    141,403.50x = 333,518.50 × 333,518.50
  4. Step 4: Simplify right side
    141,403.50x = 111,234,589,842.25
  5. Step 5: Solve for x
    x = 111,234,589,842.25/141,403.50
  6. Step 6: Final answer
    x = 786,646.65

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.