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Finding the Third Proportional to 208,165.36 and 432,693.56

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Solution

The third proportional to 208,165.36 and 432,693.56 is: 899,399.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,165.36 : 432,693.56 = 432,693.56 : x
  2. Step 2: Convert to fraction form
    208,165.36/432,693.56 = 432,693.56/x
  3. Step 3: Cross multiply
    208,165.36x = 432,693.56 × 432,693.56
  4. Step 4: Simplify right side
    208,165.36x = 187,223,719,028.94
  5. Step 5: Solve for x
    x = 187,223,719,028.94/208,165.36
  6. Step 6: Final answer
    x = 899,399.01

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.