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Finding the Third Proportional to 141,688.50 and 219,350.25

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Solution

The third proportional to 141,688.50 and 219,350.25 is: 339,579.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,688.50 : 219,350.25 = 219,350.25 : x
  2. Step 2: Convert to fraction form
    141,688.50/219,350.25 = 219,350.25/x
  3. Step 3: Cross multiply
    141,688.50x = 219,350.25 × 219,350.25
  4. Step 4: Simplify right side
    141,688.50x = 48,114,532,175.06
  5. Step 5: Solve for x
    x = 48,114,532,175.06/141,688.50
  6. Step 6: Final answer
    x = 339,579.66

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.