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Finding the Third Proportional to 233,488.69 and 341,906.06

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Solution

The third proportional to 233,488.69 and 341,906.06 is: 500,665.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,488.69 : 341,906.06 = 341,906.06 : x
  2. Step 2: Convert to fraction form
    233,488.69/341,906.06 = 341,906.06/x
  3. Step 3: Cross multiply
    233,488.69x = 341,906.06 × 341,906.06
  4. Step 4: Simplify right side
    233,488.69x = 116,899,755,574.25
  5. Step 5: Solve for x
    x = 116,899,755,574.25/233,488.69
  6. Step 6: Final answer
    x = 500,665.61

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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.