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Finding the Third Proportional to 187,792 and 405,090

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Solution

The third proportional to 187,792 and 405,090 is: 873,828.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,792 : 405,090 = 405,090 : x
  2. Step 2: Convert to fraction form
    187,792/405,090 = 405,090/x
  3. Step 3: Cross multiply
    187,792x = 405,090 × 405,090
  4. Step 4: Simplify right side
    187,792x = 164,097,908,100
  5. Step 5: Solve for x
    x = 164,097,908,100/187,792
  6. Step 6: Final answer
    x = 873,828.00

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.