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Finding the Third Proportional to 216,054 and 327,066.19

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Solution

The third proportional to 216,054 and 327,066.19 is: 495,118.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,054 : 327,066.19 = 327,066.19 : x
  2. Step 2: Convert to fraction form
    216,054/327,066.19 = 327,066.19/x
  3. Step 3: Cross multiply
    216,054x = 327,066.19 × 327,066.19
  4. Step 4: Simplify right side
    216,054x = 106,972,291,005.79
  5. Step 5: Solve for x
    x = 106,972,291,005.79/216,054
  6. Step 6: Final answer
    x = 495,118.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.