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Finding the Third Proportional to 202,756.50 and 296,430.75

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Solution

The third proportional to 202,756.50 and 296,430.75 is: 433,382.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,756.50 : 296,430.75 = 296,430.75 : x
  2. Step 2: Convert to fraction form
    202,756.50/296,430.75 = 296,430.75/x
  3. Step 3: Cross multiply
    202,756.50x = 296,430.75 × 296,430.75
  4. Step 4: Simplify right side
    202,756.50x = 87,871,189,545.56
  5. Step 5: Solve for x
    x = 87,871,189,545.56/202,756.50
  6. Step 6: Final answer
    x = 433,382.85

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.