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Finding the Third Proportional to 116,208 and 245,472

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Solution

The third proportional to 116,208 and 245,472 is: 518,522.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,208 : 245,472 = 245,472 : x
  2. Step 2: Convert to fraction form
    116,208/245,472 = 245,472/x
  3. Step 3: Cross multiply
    116,208x = 245,472 × 245,472
  4. Step 4: Simplify right side
    116,208x = 60,256,502,784
  5. Step 5: Solve for x
    x = 60,256,502,784/116,208
  6. Step 6: Final answer
    x = 518,522.85

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.