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Finding the Third Proportional to 128,146 and 280,430

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Solution

The third proportional to 128,146 and 280,430 is: 613,682.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,146 : 280,430 = 280,430 : x
  2. Step 2: Convert to fraction form
    128,146/280,430 = 280,430/x
  3. Step 3: Cross multiply
    128,146x = 280,430 × 280,430
  4. Step 4: Simplify right side
    128,146x = 78,640,984,900
  5. Step 5: Solve for x
    x = 78,640,984,900/128,146
  6. Step 6: Final answer
    x = 613,682.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.