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Finding the Third Proportional to 128,276.06 and 201,226.13

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Solution

The third proportional to 128,276.06 and 201,226.13 is: 315,662.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,276.06 : 201,226.13 = 201,226.13 : x
  2. Step 2: Convert to fraction form
    128,276.06/201,226.13 = 201,226.13/x
  3. Step 3: Cross multiply
    128,276.06x = 201,226.13 × 201,226.13
  4. Step 4: Simplify right side
    128,276.06x = 40,491,953,382.52
  5. Step 5: Solve for x
    x = 40,491,953,382.52/128,276.06
  6. Step 6: Final answer
    x = 315,662.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.