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Finding the Third Proportional to 234,965.81 and 342,402.19

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Solution

The third proportional to 234,965.81 and 342,402.19 is: 498,963.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,965.81 : 342,402.19 = 342,402.19 : x
  2. Step 2: Convert to fraction form
    234,965.81/342,402.19 = 342,402.19/x
  3. Step 3: Cross multiply
    234,965.81x = 342,402.19 × 342,402.19
  4. Step 4: Simplify right side
    234,965.81x = 117,239,258,004.79
  5. Step 5: Solve for x
    x = 117,239,258,004.79/234,965.81
  6. Step 6: Final answer
    x = 498,963.05

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.