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Finding the Third Proportional to 235,048 and 353,090

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Solution

The third proportional to 235,048 and 353,090 is: 530,413.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,048 : 353,090 = 353,090 : x
  2. Step 2: Convert to fraction form
    235,048/353,090 = 353,090/x
  3. Step 3: Cross multiply
    235,048x = 353,090 × 353,090
  4. Step 4: Simplify right side
    235,048x = 124,672,548,100
  5. Step 5: Solve for x
    x = 124,672,548,100/235,048
  6. Step 6: Final answer
    x = 530,413.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.