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Finding the Third Proportional to 116,840 and 255,304

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Solution

The third proportional to 116,840 and 255,304 is: 557,858.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,840 : 255,304 = 255,304 : x
  2. Step 2: Convert to fraction form
    116,840/255,304 = 255,304/x
  3. Step 3: Cross multiply
    116,840x = 255,304 × 255,304
  4. Step 4: Simplify right side
    116,840x = 65,180,132,416
  5. Step 5: Solve for x
    x = 65,180,132,416/116,840
  6. Step 6: Final answer
    x = 557,858.03

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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.