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Finding the Third Proportional to 233,129 and 342,015

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Solution

The third proportional to 233,129 and 342,015 is: 501,757.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,129 : 342,015 = 342,015 : x
  2. Step 2: Convert to fraction form
    233,129/342,015 = 342,015/x
  3. Step 3: Cross multiply
    233,129x = 342,015 × 342,015
  4. Step 4: Simplify right side
    233,129x = 116,974,260,225
  5. Step 5: Solve for x
    x = 116,974,260,225/233,129
  6. Step 6: Final answer
    x = 501,757.65

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Why These Related Problems?

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