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Finding the Third Proportional to 191,575.88 and 410,676.75

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Solution

The third proportional to 191,575.88 and 410,676.75 is: 880,358.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,575.88 : 410,676.75 = 410,676.75 : x
  2. Step 2: Convert to fraction form
    191,575.88/410,676.75 = 410,676.75/x
  3. Step 3: Cross multiply
    191,575.88x = 410,676.75 × 410,676.75
  4. Step 4: Simplify right side
    191,575.88x = 168,655,392,990.56
  5. Step 5: Solve for x
    x = 168,655,392,990.56/191,575.88
  6. Step 6: Final answer
    x = 880,358.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.