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Finding the Third Proportional to 174,340.13 and 269,400.38

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Solution

The third proportional to 174,340.13 and 269,400.38 is: 416,292.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,340.13 : 269,400.38 = 269,400.38 : x
  2. Step 2: Convert to fraction form
    174,340.13/269,400.38 = 269,400.38/x
  3. Step 3: Cross multiply
    174,340.13x = 269,400.38 × 269,400.38
  4. Step 4: Simplify right side
    174,340.13x = 72,576,562,050.14
  5. Step 5: Solve for x
    x = 72,576,562,050.14/174,340.13
  6. Step 6: Final answer
    x = 416,292.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.