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Finding the Third Proportional to 116,790 and 255,389

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Solution

The third proportional to 116,790 and 255,389 is: 558,468.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,790 : 255,389 = 255,389 : x
  2. Step 2: Convert to fraction form
    116,790/255,389 = 255,389/x
  3. Step 3: Cross multiply
    116,790x = 255,389 × 255,389
  4. Step 4: Simplify right side
    116,790x = 65,223,541,321
  5. Step 5: Solve for x
    x = 65,223,541,321/116,790
  6. Step 6: Final answer
    x = 558,468.54

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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.