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Finding the Third Proportional to 233,158 and 342,079

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Solution

The third proportional to 233,158 and 342,079 is: 501,883.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,158 : 342,079 = 342,079 : x
  2. Step 2: Convert to fraction form
    233,158/342,079 = 342,079/x
  3. Step 3: Cross multiply
    233,158x = 342,079 × 342,079
  4. Step 4: Simplify right side
    233,158x = 117,018,042,241
  5. Step 5: Solve for x
    x = 117,018,042,241/233,158
  6. Step 6: Final answer
    x = 501,883.02

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.