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Finding the Third Proportional to 104,962.50 and 224,748

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Solution

The third proportional to 104,962.50 and 224,748 is: 481,235.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,962.50 : 224,748 = 224,748 : x
  2. Step 2: Convert to fraction form
    104,962.50/224,748 = 224,748/x
  3. Step 3: Cross multiply
    104,962.50x = 224,748 × 224,748
  4. Step 4: Simplify right side
    104,962.50x = 50,511,663,504
  5. Step 5: Solve for x
    x = 50,511,663,504/104,962.50
  6. Step 6: Final answer
    x = 481,235.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.