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Finding the Third Proportional to 187,549.50 and 410,703

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Solution

The third proportional to 187,549.50 and 410,703 is: 899,372.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,549.50 : 410,703 = 410,703 : x
  2. Step 2: Convert to fraction form
    187,549.50/410,703 = 410,703/x
  3. Step 3: Cross multiply
    187,549.50x = 410,703 × 410,703
  4. Step 4: Simplify right side
    187,549.50x = 168,676,954,209
  5. Step 5: Solve for x
    x = 168,676,954,209/187,549.50
  6. Step 6: Final answer
    x = 899,372.99

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