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Finding the Third Proportional to 128,700 and 283,596

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Solution

The third proportional to 128,700 and 283,596 is: 624,916.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,700 : 283,596 = 283,596 : x
  2. Step 2: Convert to fraction form
    128,700/283,596 = 283,596/x
  3. Step 3: Cross multiply
    128,700x = 283,596 × 283,596
  4. Step 4: Simplify right side
    128,700x = 80,426,691,216
  5. Step 5: Solve for x
    x = 80,426,691,216/128,700
  6. Step 6: Final answer
    x = 624,916.02

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.