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Finding the Third Proportional to 175,240.13 and 380,004.75

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Solution

The third proportional to 175,240.13 and 380,004.75 is: 824,032.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,240.13 : 380,004.75 = 380,004.75 : x
  2. Step 2: Convert to fraction form
    175,240.13/380,004.75 = 380,004.75/x
  3. Step 3: Cross multiply
    175,240.13x = 380,004.75 × 380,004.75
  4. Step 4: Simplify right side
    175,240.13x = 144,403,610,022.56
  5. Step 5: Solve for x
    x = 144,403,610,022.56/175,240.13
  6. Step 6: Final answer
    x = 824,032.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.