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Finding the Third Proportional to 193,689.50 and 418,501

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Solution

The third proportional to 193,689.50 and 418,501 is: 904,246.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,689.50 : 418,501 = 418,501 : x
  2. Step 2: Convert to fraction form
    193,689.50/418,501 = 418,501/x
  3. Step 3: Cross multiply
    193,689.50x = 418,501 × 418,501
  4. Step 4: Simplify right side
    193,689.50x = 175,143,087,001
  5. Step 5: Solve for x
    x = 175,143,087,001/193,689.50
  6. Step 6: Final answer
    x = 904,246.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.