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Finding the Third Proportional to 296,169.75 and 423,228.38

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Solution

The third proportional to 296,169.75 and 423,228.38 is: 604,795.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,169.75 : 423,228.38 = 423,228.38 : x
  2. Step 2: Convert to fraction form
    296,169.75/423,228.38 = 423,228.38/x
  3. Step 3: Cross multiply
    296,169.75x = 423,228.38 × 423,228.38
  4. Step 4: Simplify right side
    296,169.75x = 179,122,257,405.14
  5. Step 5: Solve for x
    x = 179,122,257,405.14/296,169.75
  6. Step 6: Final answer
    x = 604,795.92

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.