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Finding the Third Proportional to 116,416.69 and 255,693.94

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Solution

The third proportional to 116,416.69 and 255,693.94 is: 561,598.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,416.69 : 255,693.94 = 255,693.94 : x
  2. Step 2: Convert to fraction form
    116,416.69/255,693.94 = 255,693.94/x
  3. Step 3: Cross multiply
    116,416.69x = 255,693.94 × 255,693.94
  4. Step 4: Simplify right side
    116,416.69x = 65,379,389,674.25
  5. Step 5: Solve for x
    x = 65,379,389,674.25/116,416.69
  6. Step 6: Final answer
    x = 561,598.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.