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Finding the Third Proportional to 191,029.50 and 415,228.50

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Solution

The third proportional to 191,029.50 and 415,228.50 is: 902,555.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,029.50 : 415,228.50 = 415,228.50 : x
  2. Step 2: Convert to fraction form
    191,029.50/415,228.50 = 415,228.50/x
  3. Step 3: Cross multiply
    191,029.50x = 415,228.50 × 415,228.50
  4. Step 4: Simplify right side
    191,029.50x = 172,414,707,212.25
  5. Step 5: Solve for x
    x = 172,414,707,212.25/191,029.50
  6. Step 6: Final answer
    x = 902,555.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.