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Finding the Third Proportional to 193,366.50 and 423,906

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Solution

The third proportional to 193,366.50 and 423,906 is: 929,304.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,366.50 : 423,906 = 423,906 : x
  2. Step 2: Convert to fraction form
    193,366.50/423,906 = 423,906/x
  3. Step 3: Cross multiply
    193,366.50x = 423,906 × 423,906
  4. Step 4: Simplify right side
    193,366.50x = 179,696,296,836
  5. Step 5: Solve for x
    x = 179,696,296,836/193,366.50
  6. Step 6: Final answer
    x = 929,304.18

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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.