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Finding the Third Proportional to 155,654 and 336,096

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Solution

The third proportional to 155,654 and 336,096 is: 725,715.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,654 : 336,096 = 336,096 : x
  2. Step 2: Convert to fraction form
    155,654/336,096 = 336,096/x
  3. Step 3: Cross multiply
    155,654x = 336,096 × 336,096
  4. Step 4: Simplify right side
    155,654x = 112,960,521,216
  5. Step 5: Solve for x
    x = 112,960,521,216/155,654
  6. Step 6: Final answer
    x = 725,715.51

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.