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Finding the Third Proportional to 128,610 and 278,684

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Solution

The third proportional to 128,610 and 278,684 is: 603,878.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,610 : 278,684 = 278,684 : x
  2. Step 2: Convert to fraction form
    128,610/278,684 = 278,684/x
  3. Step 3: Cross multiply
    128,610x = 278,684 × 278,684
  4. Step 4: Simplify right side
    128,610x = 77,664,771,856
  5. Step 5: Solve for x
    x = 77,664,771,856/128,610
  6. Step 6: Final answer
    x = 603,878.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.