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Finding the Third Proportional to 225,369 and 459,087.75

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Solution

The third proportional to 225,369 and 459,087.75 is: 935,184.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,369 : 459,087.75 = 459,087.75 : x
  2. Step 2: Convert to fraction form
    225,369/459,087.75 = 459,087.75/x
  3. Step 3: Cross multiply
    225,369x = 459,087.75 × 459,087.75
  4. Step 4: Simplify right side
    225,369x = 210,761,562,200.06
  5. Step 5: Solve for x
    x = 210,761,562,200.06/225,369
  6. Step 6: Final answer
    x = 935,184.35

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.