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Finding the Third Proportional to 183,816 and 398,165.63

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Solution

The third proportional to 183,816 and 398,165.63 is: 862,470.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,816 : 398,165.63 = 398,165.63 : x
  2. Step 2: Convert to fraction form
    183,816/398,165.63 = 398,165.63/x
  3. Step 3: Cross multiply
    183,816x = 398,165.63 × 398,165.63
  4. Step 4: Simplify right side
    183,816x = 158,535,864,931.64
  5. Step 5: Solve for x
    x = 158,535,864,931.64/183,816
  6. Step 6: Final answer
    x = 862,470.43

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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.