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Finding the Third Proportional to 156,375 and 340,816.75

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Solution

The third proportional to 156,375 and 340,816.75 is: 742,804.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,375 : 340,816.75 = 340,816.75 : x
  2. Step 2: Convert to fraction form
    156,375/340,816.75 = 340,816.75/x
  3. Step 3: Cross multiply
    156,375x = 340,816.75 × 340,816.75
  4. Step 4: Simplify right side
    156,375x = 116,156,057,080.56
  5. Step 5: Solve for x
    x = 116,156,057,080.56/156,375
  6. Step 6: Final answer
    x = 742,804.52

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.