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Finding the Third Proportional to 187,968 and 405,277

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Solution

The third proportional to 187,968 and 405,277 is: 873,816.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,968 : 405,277 = 405,277 : x
  2. Step 2: Convert to fraction form
    187,968/405,277 = 405,277/x
  3. Step 3: Cross multiply
    187,968x = 405,277 × 405,277
  4. Step 4: Simplify right side
    187,968x = 164,249,446,729
  5. Step 5: Solve for x
    x = 164,249,446,729/187,968
  6. Step 6: Final answer
    x = 873,816.00

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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.