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Finding the Third Proportional to 193,686.19 and 418,494.41

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Solution

The third proportional to 193,686.19 and 418,494.41 is: 904,233.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,686.19 : 418,494.41 = 418,494.41 : x
  2. Step 2: Convert to fraction form
    193,686.19/418,494.41 = 418,494.41/x
  3. Step 3: Cross multiply
    193,686.19x = 418,494.41 × 418,494.41
  4. Step 4: Simplify right side
    193,686.19x = 175,137,571,332.02
  5. Step 5: Solve for x
    x = 175,137,571,332.02/193,686.19
  6. Step 6: Final answer
    x = 904,233.67

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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.