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Finding the Third Proportional to 235,426.50 and 342,202.50

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Solution

The third proportional to 235,426.50 and 342,202.50 is: 497,405.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,426.50 : 342,202.50 = 342,202.50 : x
  2. Step 2: Convert to fraction form
    235,426.50/342,202.50 = 342,202.50/x
  3. Step 3: Cross multiply
    235,426.50x = 342,202.50 × 342,202.50
  4. Step 4: Simplify right side
    235,426.50x = 117,102,551,006.25
  5. Step 5: Solve for x
    x = 117,102,551,006.25/235,426.50
  6. Step 6: Final answer
    x = 497,405.99

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.