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Finding the Third Proportional to 233,766 and 341,901

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Solution

The third proportional to 233,766 and 341,901 is: 500,056.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,766 : 341,901 = 341,901 : x
  2. Step 2: Convert to fraction form
    233,766/341,901 = 341,901/x
  3. Step 3: Cross multiply
    233,766x = 341,901 × 341,901
  4. Step 4: Simplify right side
    233,766x = 116,896,293,801
  5. Step 5: Solve for x
    x = 116,896,293,801/233,766
  6. Step 6: Final answer
    x = 500,056.87

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Why These Related Problems?

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