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Finding the Third Proportional to 232,876.69 and 341,646.19

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Solution

The third proportional to 232,876.69 and 341,646.19 is: 501,218.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,876.69 : 341,646.19 = 341,646.19 : x
  2. Step 2: Convert to fraction form
    232,876.69/341,646.19 = 341,646.19/x
  3. Step 3: Cross multiply
    232,876.69x = 341,646.19 × 341,646.19
  4. Step 4: Simplify right side
    232,876.69x = 116,722,117,433.29
  5. Step 5: Solve for x
    x = 116,722,117,433.29/232,876.69
  6. Step 6: Final answer
    x = 501,218.56

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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.