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Finding the Third Proportional to 132,429.94 and 202,624.03

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Solution

The third proportional to 132,429.94 and 202,624.03 is: 310,024.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,429.94 : 202,624.03 = 202,624.03 : x
  2. Step 2: Convert to fraction form
    132,429.94/202,624.03 = 202,624.03/x
  3. Step 3: Cross multiply
    132,429.94x = 202,624.03 × 202,624.03
  4. Step 4: Simplify right side
    132,429.94x = 41,056,498,040.00
  5. Step 5: Solve for x
    x = 41,056,498,040.00/132,429.94
  6. Step 6: Final answer
    x = 310,024.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.