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Finding the Third Proportional to 116,828 and 255,280

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Solution

The third proportional to 116,828 and 255,280 is: 557,810.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,828 : 255,280 = 255,280 : x
  2. Step 2: Convert to fraction form
    116,828/255,280 = 255,280/x
  3. Step 3: Cross multiply
    116,828x = 255,280 × 255,280
  4. Step 4: Simplify right side
    116,828x = 65,167,878,400
  5. Step 5: Solve for x
    x = 65,167,878,400/116,828
  6. Step 6: Final answer
    x = 557,810.44

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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.