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Finding the Third Proportional to 190,694.50 and 411,377

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Solution

The third proportional to 190,694.50 and 411,377 is: 887,445.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,694.50 : 411,377 = 411,377 : x
  2. Step 2: Convert to fraction form
    190,694.50/411,377 = 411,377/x
  3. Step 3: Cross multiply
    190,694.50x = 411,377 × 411,377
  4. Step 4: Simplify right side
    190,694.50x = 169,231,036,129
  5. Step 5: Solve for x
    x = 169,231,036,129/190,694.50
  6. Step 6: Final answer
    x = 887,445.82

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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.