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Finding the Third Proportional to 188,656 and 411,008

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Solution

The third proportional to 188,656 and 411,008 is: 895,426.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,656 : 411,008 = 411,008 : x
  2. Step 2: Convert to fraction form
    188,656/411,008 = 411,008/x
  3. Step 3: Cross multiply
    188,656x = 411,008 × 411,008
  4. Step 4: Simplify right side
    188,656x = 168,927,576,064
  5. Step 5: Solve for x
    x = 168,927,576,064/188,656
  6. Step 6: Final answer
    x = 895,426.47

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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.