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Finding the Third Proportional to 187,104.50 and 411,570

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Solution

The third proportional to 187,104.50 and 411,570 is: 905,322.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,104.50 : 411,570 = 411,570 : x
  2. Step 2: Convert to fraction form
    187,104.50/411,570 = 411,570/x
  3. Step 3: Cross multiply
    187,104.50x = 411,570 × 411,570
  4. Step 4: Simplify right side
    187,104.50x = 169,389,864,900
  5. Step 5: Solve for x
    x = 169,389,864,900/187,104.50
  6. Step 6: Final answer
    x = 905,322.24

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.