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Finding the Third Proportional to 193,187.81 and 414,941.63

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Solution

The third proportional to 193,187.81 and 414,941.63 is: 891,239.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,187.81 : 414,941.63 = 414,941.63 : x
  2. Step 2: Convert to fraction form
    193,187.81/414,941.63 = 414,941.63/x
  3. Step 3: Cross multiply
    193,187.81x = 414,941.63 × 414,941.63
  4. Step 4: Simplify right side
    193,187.81x = 172,176,552,157.64
  5. Step 5: Solve for x
    x = 172,176,552,157.64/193,187.81
  6. Step 6: Final answer
    x = 891,239.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.