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Finding the Third Proportional to 187,900 and 411,998

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Solution

The third proportional to 187,900 and 411,998 is: 903,365.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,900 : 411,998 = 411,998 : x
  2. Step 2: Convert to fraction form
    187,900/411,998 = 411,998/x
  3. Step 3: Cross multiply
    187,900x = 411,998 × 411,998
  4. Step 4: Simplify right side
    187,900x = 169,742,352,004
  5. Step 5: Solve for x
    x = 169,742,352,004/187,900
  6. Step 6: Final answer
    x = 903,365.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.