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Finding the Third Proportional to 114,486.75 and 232,078.50

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Solution

The third proportional to 114,486.75 and 232,078.50 is: 470,451.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,486.75 : 232,078.50 = 232,078.50 : x
  2. Step 2: Convert to fraction form
    114,486.75/232,078.50 = 232,078.50/x
  3. Step 3: Cross multiply
    114,486.75x = 232,078.50 × 232,078.50
  4. Step 4: Simplify right side
    114,486.75x = 53,860,430,162.25
  5. Step 5: Solve for x
    x = 53,860,430,162.25/114,486.75
  6. Step 6: Final answer
    x = 470,451.21

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.