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Finding the Third Proportional to 132,205.50 and 201,406.25

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Solution

The third proportional to 132,205.50 and 201,406.25 is: 306,828.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,205.50 : 201,406.25 = 201,406.25 : x
  2. Step 2: Convert to fraction form
    132,205.50/201,406.25 = 201,406.25/x
  3. Step 3: Cross multiply
    132,205.50x = 201,406.25 × 201,406.25
  4. Step 4: Simplify right side
    132,205.50x = 40,564,477,539.06
  5. Step 5: Solve for x
    x = 40,564,477,539.06/132,205.50
  6. Step 6: Final answer
    x = 306,828.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.