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Finding the Third Proportional to 191,973.75 and 418,940.25

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Solution

The third proportional to 191,973.75 and 418,940.25 is: 914,244.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,973.75 : 418,940.25 = 418,940.25 : x
  2. Step 2: Convert to fraction form
    191,973.75/418,940.25 = 418,940.25/x
  3. Step 3: Cross multiply
    191,973.75x = 418,940.25 × 418,940.25
  4. Step 4: Simplify right side
    191,973.75x = 175,510,933,070.06
  5. Step 5: Solve for x
    x = 175,510,933,070.06/191,973.75
  6. Step 6: Final answer
    x = 914,244.44

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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.