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Finding the Third Proportional to 152,833.50 and 335,191.50

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Solution

The third proportional to 152,833.50 and 335,191.50 is: 735,135.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,833.50 : 335,191.50 = 335,191.50 : x
  2. Step 2: Convert to fraction form
    152,833.50/335,191.50 = 335,191.50/x
  3. Step 3: Cross multiply
    152,833.50x = 335,191.50 × 335,191.50
  4. Step 4: Simplify right side
    152,833.50x = 112,353,341,672.25
  5. Step 5: Solve for x
    x = 112,353,341,672.25/152,833.50
  6. Step 6: Final answer
    x = 735,135.57

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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.