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Finding the Third Proportional to 232,701.75 and 341,660.25

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Solution

The third proportional to 232,701.75 and 341,660.25 is: 501,636.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,701.75 : 341,660.25 = 341,660.25 : x
  2. Step 2: Convert to fraction form
    232,701.75/341,660.25 = 341,660.25/x
  3. Step 3: Cross multiply
    232,701.75x = 341,660.25 × 341,660.25
  4. Step 4: Simplify right side
    232,701.75x = 116,731,726,430.06
  5. Step 5: Solve for x
    x = 116,731,726,430.06/232,701.75
  6. Step 6: Final answer
    x = 501,636.65

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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.