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Finding the Third Proportional to 114,477.75 and 168,284.25

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Solution

The third proportional to 114,477.75 and 168,284.25 is: 247,380.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,477.75 : 168,284.25 = 168,284.25 : x
  2. Step 2: Convert to fraction form
    114,477.75/168,284.25 = 168,284.25/x
  3. Step 3: Cross multiply
    114,477.75x = 168,284.25 × 168,284.25
  4. Step 4: Simplify right side
    114,477.75x = 28,319,588,798.06
  5. Step 5: Solve for x
    x = 28,319,588,798.06/114,477.75
  6. Step 6: Final answer
    x = 247,380.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.