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Finding the Third Proportional to 145,593 and 226,165.50

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Solution

The third proportional to 145,593 and 226,165.50 is: 351,327.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,593 : 226,165.50 = 226,165.50 : x
  2. Step 2: Convert to fraction form
    145,593/226,165.50 = 226,165.50/x
  3. Step 3: Cross multiply
    145,593x = 226,165.50 × 226,165.50
  4. Step 4: Simplify right side
    145,593x = 51,150,833,390.25
  5. Step 5: Solve for x
    x = 51,150,833,390.25/145,593
  6. Step 6: Final answer
    x = 351,327.56

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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.