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Finding the Third Proportional to 144,424.69 and 224,506.69

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Solution

The third proportional to 144,424.69 and 224,506.69 is: 348,993.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,424.69 : 224,506.69 = 224,506.69 : x
  2. Step 2: Convert to fraction form
    144,424.69/224,506.69 = 224,506.69/x
  3. Step 3: Cross multiply
    144,424.69x = 224,506.69 × 224,506.69
  4. Step 4: Simplify right side
    144,424.69x = 50,403,252,732.22
  5. Step 5: Solve for x
    x = 50,403,252,732.22/144,424.69
  6. Step 6: Final answer
    x = 348,993.33

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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.