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Finding the Third Proportional to 169,410.09 and 262,316.81

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Solution

The third proportional to 169,410.09 and 262,316.81 is: 406,174.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,410.09 : 262,316.81 = 262,316.81 : x
  2. Step 2: Convert to fraction form
    169,410.09/262,316.81 = 262,316.81/x
  3. Step 3: Cross multiply
    169,410.09x = 262,316.81 × 262,316.81
  4. Step 4: Simplify right side
    169,410.09x = 68,810,110,120.16
  5. Step 5: Solve for x
    x = 68,810,110,120.16/169,410.09
  6. Step 6: Final answer
    x = 406,174.80

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.