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Finding the Third Proportional to 172,324.13 and 279,762.19

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Solution

The third proportional to 172,324.13 and 279,762.19 is: 454,184.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,324.13 : 279,762.19 = 279,762.19 : x
  2. Step 2: Convert to fraction form
    172,324.13/279,762.19 = 279,762.19/x
  3. Step 3: Cross multiply
    172,324.13x = 279,762.19 × 279,762.19
  4. Step 4: Simplify right side
    172,324.13x = 78,266,881,554.79
  5. Step 5: Solve for x
    x = 78,266,881,554.79/172,324.13
  6. Step 6: Final answer
    x = 454,184.12

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.