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Finding the Third Proportional to 128,732.06 and 269,227.69

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Solution

The third proportional to 128,732.06 and 269,227.69 is: 563,057.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,732.06 : 269,227.69 = 269,227.69 : x
  2. Step 2: Convert to fraction form
    128,732.06/269,227.69 = 269,227.69/x
  3. Step 3: Cross multiply
    128,732.06x = 269,227.69 × 269,227.69
  4. Step 4: Simplify right side
    128,732.06x = 72,483,547,716.60
  5. Step 5: Solve for x
    x = 72,483,547,716.60/128,732.06
  6. Step 6: Final answer
    x = 563,057.46

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.