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Finding the Third Proportional to 296,174.25 and 455,334.75

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Solution

The third proportional to 296,174.25 and 455,334.75 is: 700,026.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,174.25 : 455,334.75 = 455,334.75 : x
  2. Step 2: Convert to fraction form
    296,174.25/455,334.75 = 455,334.75/x
  3. Step 3: Cross multiply
    296,174.25x = 455,334.75 × 455,334.75
  4. Step 4: Simplify right side
    296,174.25x = 207,329,734,557.56
  5. Step 5: Solve for x
    x = 207,329,734,557.56/296,174.25
  6. Step 6: Final answer
    x = 700,026.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.