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Finding the Third Proportional to 74,464.50 and 163,671

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Solution

The third proportional to 74,464.50 and 163,671 is: 359,744.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,464.50 : 163,671 = 163,671 : x
  2. Step 2: Convert to fraction form
    74,464.50/163,671 = 163,671/x
  3. Step 3: Cross multiply
    74,464.50x = 163,671 × 163,671
  4. Step 4: Simplify right side
    74,464.50x = 26,788,196,241
  5. Step 5: Solve for x
    x = 26,788,196,241/74,464.50
  6. Step 6: Final answer
    x = 359,744.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.