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Finding the Third Proportional to 194,140.13 and 397,688.06

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Solution

The third proportional to 194,140.13 and 397,688.06 is: 814,647.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,140.13 : 397,688.06 = 397,688.06 : x
  2. Step 2: Convert to fraction form
    194,140.13/397,688.06 = 397,688.06/x
  3. Step 3: Cross multiply
    194,140.13x = 397,688.06 × 397,688.06
  4. Step 4: Simplify right side
    194,140.13x = 158,155,795,055.00
  5. Step 5: Solve for x
    x = 158,155,795,055.00/194,140.13
  6. Step 6: Final answer
    x = 814,647.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.