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Finding the Third Proportional to 296,138.25 and 446,872.50

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Solution

The third proportional to 296,138.25 and 446,872.50 is: 674,330.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,138.25 : 446,872.50 = 446,872.50 : x
  2. Step 2: Convert to fraction form
    296,138.25/446,872.50 = 446,872.50/x
  3. Step 3: Cross multiply
    296,138.25x = 446,872.50 × 446,872.50
  4. Step 4: Simplify right side
    296,138.25x = 199,695,031,256.25
  5. Step 5: Solve for x
    x = 199,695,031,256.25/296,138.25
  6. Step 6: Final answer
    x = 674,330.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.