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Finding the Third Proportional to 133,552.13 and 288,171

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Solution

The third proportional to 133,552.13 and 288,171 is: 621,798.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,552.13 : 288,171 = 288,171 : x
  2. Step 2: Convert to fraction form
    133,552.13/288,171 = 288,171/x
  3. Step 3: Cross multiply
    133,552.13x = 288,171 × 288,171
  4. Step 4: Simplify right side
    133,552.13x = 83,042,525,241
  5. Step 5: Solve for x
    x = 83,042,525,241/133,552.13
  6. Step 6: Final answer
    x = 621,798.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.