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Finding the Third Proportional to 188,472 and 406,466.25

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Solution

The third proportional to 188,472 and 406,466.25 is: 876,601.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,472 : 406,466.25 = 406,466.25 : x
  2. Step 2: Convert to fraction form
    188,472/406,466.25 = 406,466.25/x
  3. Step 3: Cross multiply
    188,472x = 406,466.25 × 406,466.25
  4. Step 4: Simplify right side
    188,472x = 165,214,812,389.06
  5. Step 5: Solve for x
    x = 165,214,812,389.06/188,472
  6. Step 6: Final answer
    x = 876,601.36

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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.