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Finding the Third Proportional to 193,681.13 and 421,658.16

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Solution

The third proportional to 193,681.13 and 421,658.16 is: 917,981.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,681.13 : 421,658.16 = 421,658.16 : x
  2. Step 2: Convert to fraction form
    193,681.13/421,658.16 = 421,658.16/x
  3. Step 3: Cross multiply
    193,681.13x = 421,658.16 × 421,658.16
  4. Step 4: Simplify right side
    193,681.13x = 177,795,600,732.15
  5. Step 5: Solve for x
    x = 177,795,600,732.15/193,681.13
  6. Step 6: Final answer
    x = 917,981.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.