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Finding the Third Proportional to 130,688.50 and 283,505

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Solution

The third proportional to 130,688.50 and 283,505 is: 615,012.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,688.50 : 283,505 = 283,505 : x
  2. Step 2: Convert to fraction form
    130,688.50/283,505 = 283,505/x
  3. Step 3: Cross multiply
    130,688.50x = 283,505 × 283,505
  4. Step 4: Simplify right side
    130,688.50x = 80,375,085,025
  5. Step 5: Solve for x
    x = 80,375,085,025/130,688.50
  6. Step 6: Final answer
    x = 615,012.68

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.