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Finding the Third Proportional to 128,328 and 264,784

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Solution

The third proportional to 128,328 and 264,784 is: 546,338.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,328 : 264,784 = 264,784 : x
  2. Step 2: Convert to fraction form
    128,328/264,784 = 264,784/x
  3. Step 3: Cross multiply
    128,328x = 264,784 × 264,784
  4. Step 4: Simplify right side
    128,328x = 70,110,566,656
  5. Step 5: Solve for x
    x = 70,110,566,656/128,328
  6. Step 6: Final answer
    x = 546,338.81

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.