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Finding the Third Proportional to 174,885.75 and 384,998.06

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Solution

The third proportional to 174,885.75 and 384,998.06 is: 847,544.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,885.75 : 384,998.06 = 384,998.06 : x
  2. Step 2: Convert to fraction form
    174,885.75/384,998.06 = 384,998.06/x
  3. Step 3: Cross multiply
    174,885.75x = 384,998.06 × 384,998.06
  4. Step 4: Simplify right side
    174,885.75x = 148,223,508,128.75
  5. Step 5: Solve for x
    x = 148,223,508,128.75/174,885.75
  6. Step 6: Final answer
    x = 847,544.80

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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.