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Finding the Third Proportional to 104,907 and 224,539

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Solution

The third proportional to 104,907 and 224,539 is: 480,594.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,907 : 224,539 = 224,539 : x
  2. Step 2: Convert to fraction form
    104,907/224,539 = 224,539/x
  3. Step 3: Cross multiply
    104,907x = 224,539 × 224,539
  4. Step 4: Simplify right side
    104,907x = 50,417,762,521
  5. Step 5: Solve for x
    x = 50,417,762,521/104,907
  6. Step 6: Final answer
    x = 480,594.84

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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.