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Finding the Third Proportional to 116,830 and 255,281

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Solution

The third proportional to 116,830 and 255,281 is: 557,805.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,830 : 255,281 = 255,281 : x
  2. Step 2: Convert to fraction form
    116,830/255,281 = 255,281/x
  3. Step 3: Cross multiply
    116,830x = 255,281 × 255,281
  4. Step 4: Simplify right side
    116,830x = 65,168,388,961
  5. Step 5: Solve for x
    x = 65,168,388,961/116,830
  6. Step 6: Final answer
    x = 557,805.26

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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.