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Finding the Third Proportional to 225,676.13 and 350,564.63

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Solution

The third proportional to 225,676.13 and 350,564.63 is: 544,566.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,676.13 : 350,564.63 = 350,564.63 : x
  2. Step 2: Convert to fraction form
    225,676.13/350,564.63 = 350,564.63/x
  3. Step 3: Cross multiply
    225,676.13x = 350,564.63 × 350,564.63
  4. Step 4: Simplify right side
    225,676.13x = 122,895,556,301.39
  5. Step 5: Solve for x
    x = 122,895,556,301.39/225,676.13
  6. Step 6: Final answer
    x = 544,566.05

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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.