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Finding the Third Proportional to 74,421 and 175,644

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Solution

The third proportional to 74,421 and 175,644 is: 414,544.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,421 : 175,644 = 175,644 : x
  2. Step 2: Convert to fraction form
    74,421/175,644 = 175,644/x
  3. Step 3: Cross multiply
    74,421x = 175,644 × 175,644
  4. Step 4: Simplify right side
    74,421x = 30,850,814,736
  5. Step 5: Solve for x
    x = 30,850,814,736/74,421
  6. Step 6: Final answer
    x = 414,544.48

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.