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Finding the Third Proportional to 128,610 and 266,922

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Solution

The third proportional to 128,610 and 266,922 is: 553,979.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,610 : 266,922 = 266,922 : x
  2. Step 2: Convert to fraction form
    128,610/266,922 = 266,922/x
  3. Step 3: Cross multiply
    128,610x = 266,922 × 266,922
  4. Step 4: Simplify right side
    128,610x = 71,247,354,084
  5. Step 5: Solve for x
    x = 71,247,354,084/128,610
  6. Step 6: Final answer
    x = 553,979.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.