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Finding the Third Proportional to 217,792.13 and 319,546.69

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Solution

The third proportional to 217,792.13 and 319,546.69 is: 468,841.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,792.13 : 319,546.69 = 319,546.69 : x
  2. Step 2: Convert to fraction form
    217,792.13/319,546.69 = 319,546.69/x
  3. Step 3: Cross multiply
    217,792.13x = 319,546.69 × 319,546.69
  4. Step 4: Simplify right side
    217,792.13x = 102,110,085,492.22
  5. Step 5: Solve for x
    x = 102,110,085,492.22/217,792.13
  6. Step 6: Final answer
    x = 468,841.95

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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.