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Finding the Third Proportional to 132,861.94 and 201,753.28

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Solution

The third proportional to 132,861.94 and 201,753.28 is: 306,366.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,861.94 : 201,753.28 = 201,753.28 : x
  2. Step 2: Convert to fraction form
    132,861.94/201,753.28 = 201,753.28/x
  3. Step 3: Cross multiply
    132,861.94x = 201,753.28 × 201,753.28
  4. Step 4: Simplify right side
    132,861.94x = 40,704,386,495.14
  5. Step 5: Solve for x
    x = 40,704,386,495.14/132,861.94
  6. Step 6: Final answer
    x = 306,366.05

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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.