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Finding the Third Proportional to 225,090.38 and 343,352.25

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Solution

The third proportional to 225,090.38 and 343,352.25 is: 523,748.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,090.38 : 343,352.25 = 343,352.25 : x
  2. Step 2: Convert to fraction form
    225,090.38/343,352.25 = 343,352.25/x
  3. Step 3: Cross multiply
    225,090.38x = 343,352.25 × 343,352.25
  4. Step 4: Simplify right side
    225,090.38x = 117,890,767,580.06
  5. Step 5: Solve for x
    x = 117,890,767,580.06/225,090.38
  6. Step 6: Final answer
    x = 523,748.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.