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Finding the Third Proportional to 260,212.50 and 402,135.75

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Solution

The third proportional to 260,212.50 and 402,135.75 is: 621,465.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,212.50 : 402,135.75 = 402,135.75 : x
  2. Step 2: Convert to fraction form
    260,212.50/402,135.75 = 402,135.75/x
  3. Step 3: Cross multiply
    260,212.50x = 402,135.75 × 402,135.75
  4. Step 4: Simplify right side
    260,212.50x = 161,713,161,428.06
  5. Step 5: Solve for x
    x = 161,713,161,428.06/260,212.50
  6. Step 6: Final answer
    x = 621,465.77

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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.