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Finding the Third Proportional to 187,140 and 404,232

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Solution

The third proportional to 187,140 and 404,232 is: 873,161.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,140 : 404,232 = 404,232 : x
  2. Step 2: Convert to fraction form
    187,140/404,232 = 404,232/x
  3. Step 3: Cross multiply
    187,140x = 404,232 × 404,232
  4. Step 4: Simplify right side
    187,140x = 163,403,509,824
  5. Step 5: Solve for x
    x = 163,403,509,824/187,140
  6. Step 6: Final answer
    x = 873,161.86

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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.