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Finding the Third Proportional to 142,025.25 and 309,472.50

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Solution

The third proportional to 142,025.25 and 309,472.50 is: 674,339.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,025.25 : 309,472.50 = 309,472.50 : x
  2. Step 2: Convert to fraction form
    142,025.25/309,472.50 = 309,472.50/x
  3. Step 3: Cross multiply
    142,025.25x = 309,472.50 × 309,472.50
  4. Step 4: Simplify right side
    142,025.25x = 95,773,228,256.25
  5. Step 5: Solve for x
    x = 95,773,228,256.25/142,025.25
  6. Step 6: Final answer
    x = 674,339.44

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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.