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Finding the Third Proportional to 144,964.69 and 224,007.19

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Solution

The third proportional to 144,964.69 and 224,007.19 is: 346,147.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,964.69 : 224,007.19 = 224,007.19 : x
  2. Step 2: Convert to fraction form
    144,964.69/224,007.19 = 224,007.19/x
  3. Step 3: Cross multiply
    144,964.69x = 224,007.19 × 224,007.19
  4. Step 4: Simplify right side
    144,964.69x = 50,179,220,051.66
  5. Step 5: Solve for x
    x = 50,179,220,051.66/144,964.69
  6. Step 6: Final answer
    x = 346,147.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.