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Finding the Third Proportional to 223,210.69 and 488,338.88

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Solution

The third proportional to 223,210.69 and 488,338.88 is: 1,068,384.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,210.69 : 488,338.88 = 488,338.88 : x
  2. Step 2: Convert to fraction form
    223,210.69/488,338.88 = 488,338.88/x
  3. Step 3: Cross multiply
    223,210.69x = 488,338.88 × 488,338.88
  4. Step 4: Simplify right side
    223,210.69x = 238,474,856,836.27
  5. Step 5: Solve for x
    x = 238,474,856,836.27/223,210.69
  6. Step 6: Final answer
    x = 1,068,384.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.