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Finding the Third Proportional to 188,416.13 and 255,853.69

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Solution

The third proportional to 188,416.13 and 255,853.69 is: 347,428.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,416.13 : 255,853.69 = 255,853.69 : x
  2. Step 2: Convert to fraction form
    188,416.13/255,853.69 = 255,853.69/x
  3. Step 3: Cross multiply
    188,416.13x = 255,853.69 × 255,853.69
  4. Step 4: Simplify right side
    188,416.13x = 65,461,109,407.35
  5. Step 5: Solve for x
    x = 65,461,109,407.35/188,416.13
  6. Step 6: Final answer
    x = 347,428.38

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.