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Finding the Third Proportional to 171,406.13 and 376,032.38

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Solution

The third proportional to 171,406.13 and 376,032.38 is: 824,943.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,406.13 : 376,032.38 = 376,032.38 : x
  2. Step 2: Convert to fraction form
    171,406.13/376,032.38 = 376,032.38/x
  3. Step 3: Cross multiply
    171,406.13x = 376,032.38 × 376,032.38
  4. Step 4: Simplify right side
    171,406.13x = 141,400,347,048.14
  5. Step 5: Solve for x
    x = 141,400,347,048.14/171,406.13
  6. Step 6: Final answer
    x = 824,943.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.