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Finding the Third Proportional to 191,556.14 and 287,334.21

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Solution

The third proportional to 191,556.14 and 287,334.21 is: 431,001.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,556.14 : 287,334.21 = 287,334.21 : x
  2. Step 2: Convert to fraction form
    191,556.14/287,334.21 = 287,334.21/x
  3. Step 3: Cross multiply
    191,556.14x = 287,334.21 × 287,334.21
  4. Step 4: Simplify right side
    191,556.14x = 82,560,948,775.08
  5. Step 5: Solve for x
    x = 82,560,948,775.08/191,556.14
  6. Step 6: Final answer
    x = 431,001.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.