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Finding the Third Proportional to 116,858 and 255,829

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Solution

The third proportional to 116,858 and 255,829 is: 560,068.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,858 : 255,829 = 255,829 : x
  2. Step 2: Convert to fraction form
    116,858/255,829 = 255,829/x
  3. Step 3: Cross multiply
    116,858x = 255,829 × 255,829
  4. Step 4: Simplify right side
    116,858x = 65,448,477,241
  5. Step 5: Solve for x
    x = 65,448,477,241/116,858
  6. Step 6: Final answer
    x = 560,068.44

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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.