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Finding the Third Proportional to 235,105.50 and 514,315.50

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Solution

The third proportional to 235,105.50 and 514,315.50 is: 1,125,113.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,105.50 : 514,315.50 = 514,315.50 : x
  2. Step 2: Convert to fraction form
    235,105.50/514,315.50 = 514,315.50/x
  3. Step 3: Cross multiply
    235,105.50x = 514,315.50 × 514,315.50
  4. Step 4: Simplify right side
    235,105.50x = 264,520,433,540.25
  5. Step 5: Solve for x
    x = 264,520,433,540.25/235,105.50
  6. Step 6: Final answer
    x = 1,125,113.76

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.