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Finding the Third Proportional to 188,815.50 and 399,501

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Solution

The third proportional to 188,815.50 and 399,501 is: 845,275.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,815.50 : 399,501 = 399,501 : x
  2. Step 2: Convert to fraction form
    188,815.50/399,501 = 399,501/x
  3. Step 3: Cross multiply
    188,815.50x = 399,501 × 399,501
  4. Step 4: Simplify right side
    188,815.50x = 159,601,049,001
  5. Step 5: Solve for x
    x = 159,601,049,001/188,815.50
  6. Step 6: Final answer
    x = 845,275.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.