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Finding the Third Proportional to 188,605.13 and 409,141.13

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Solution

The third proportional to 188,605.13 and 409,141.13 is: 887,549.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,605.13 : 409,141.13 = 409,141.13 : x
  2. Step 2: Convert to fraction form
    188,605.13/409,141.13 = 409,141.13/x
  3. Step 3: Cross multiply
    188,605.13x = 409,141.13 × 409,141.13
  4. Step 4: Simplify right side
    188,605.13x = 167,396,460,166.27
  5. Step 5: Solve for x
    x = 167,396,460,166.27/188,605.13
  6. Step 6: Final answer
    x = 887,549.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.