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Finding the Third Proportional to 228,082.50 and 328,544.63

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Solution

The third proportional to 228,082.50 and 328,544.63 is: 473,256.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,082.50 : 328,544.63 = 328,544.63 : x
  2. Step 2: Convert to fraction form
    228,082.50/328,544.63 = 328,544.63/x
  3. Step 3: Cross multiply
    228,082.50x = 328,544.63 × 328,544.63
  4. Step 4: Simplify right side
    228,082.50x = 107,941,570,616.39
  5. Step 5: Solve for x
    x = 107,941,570,616.39/228,082.50
  6. Step 6: Final answer
    x = 473,256.70

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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.