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Finding the Third Proportional to 202,423.50 and 291,605.63

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Solution

The third proportional to 202,423.50 and 291,605.63 is: 420,078.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,423.50 : 291,605.63 = 291,605.63 : x
  2. Step 2: Convert to fraction form
    202,423.50/291,605.63 = 291,605.63/x
  3. Step 3: Cross multiply
    202,423.50x = 291,605.63 × 291,605.63
  4. Step 4: Simplify right side
    202,423.50x = 85,033,840,531.64
  5. Step 5: Solve for x
    x = 85,033,840,531.64/202,423.50
  6. Step 6: Final answer
    x = 420,078.90

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.