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Finding the Third Proportional to 132,240.50 and 201,457

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Solution

The third proportional to 132,240.50 and 201,457 is: 306,902.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,240.50 : 201,457 = 201,457 : x
  2. Step 2: Convert to fraction form
    132,240.50/201,457 = 201,457/x
  3. Step 3: Cross multiply
    132,240.50x = 201,457 × 201,457
  4. Step 4: Simplify right side
    132,240.50x = 40,584,922,849
  5. Step 5: Solve for x
    x = 40,584,922,849/132,240.50
  6. Step 6: Final answer
    x = 306,902.37

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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.