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Finding the Third Proportional to 187,957.88 and 438,583.13

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Solution

The third proportional to 187,957.88 and 438,583.13 is: 1,023,395.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,957.88 : 438,583.13 = 438,583.13 : x
  2. Step 2: Convert to fraction form
    187,957.88/438,583.13 = 438,583.13/x
  3. Step 3: Cross multiply
    187,957.88x = 438,583.13 × 438,583.13
  4. Step 4: Simplify right side
    187,957.88x = 192,355,157,534.77
  5. Step 5: Solve for x
    x = 192,355,157,534.77/187,957.88
  6. Step 6: Final answer
    x = 1,023,395.04

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.