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Finding the Third Proportional to 180,263.25 and 417,299.25

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Solution

The third proportional to 180,263.25 and 417,299.25 is: 966,024.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,263.25 : 417,299.25 = 417,299.25 : x
  2. Step 2: Convert to fraction form
    180,263.25/417,299.25 = 417,299.25/x
  3. Step 3: Cross multiply
    180,263.25x = 417,299.25 × 417,299.25
  4. Step 4: Simplify right side
    180,263.25x = 174,138,664,050.56
  5. Step 5: Solve for x
    x = 174,138,664,050.56/180,263.25
  6. Step 6: Final answer
    x = 966,024.21

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.