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Finding the Third Proportional to 187,722 and 402,153.75

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Solution

The third proportional to 187,722 and 402,153.75 is: 861,527.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,722 : 402,153.75 = 402,153.75 : x
  2. Step 2: Convert to fraction form
    187,722/402,153.75 = 402,153.75/x
  3. Step 3: Cross multiply
    187,722x = 402,153.75 × 402,153.75
  4. Step 4: Simplify right side
    187,722x = 161,727,638,639.06
  5. Step 5: Solve for x
    x = 161,727,638,639.06/187,722
  6. Step 6: Final answer
    x = 861,527.36

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.