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Finding the Third Proportional to 232,696.50 and 373,341

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Solution

The third proportional to 232,696.50 and 373,341 is: 598,992.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,696.50 : 373,341 = 373,341 : x
  2. Step 2: Convert to fraction form
    232,696.50/373,341 = 373,341/x
  3. Step 3: Cross multiply
    232,696.50x = 373,341 × 373,341
  4. Step 4: Simplify right side
    232,696.50x = 139,383,502,281
  5. Step 5: Solve for x
    x = 139,383,502,281/232,696.50
  6. Step 6: Final answer
    x = 598,992.69

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.