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Finding the Third Proportional to 154,792.75 and 316,145.25

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Solution

The third proportional to 154,792.75 and 316,145.25 is: 645,687.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,792.75 : 316,145.25 = 316,145.25 : x
  2. Step 2: Convert to fraction form
    154,792.75/316,145.25 = 316,145.25/x
  3. Step 3: Cross multiply
    154,792.75x = 316,145.25 × 316,145.25
  4. Step 4: Simplify right side
    154,792.75x = 99,947,819,097.56
  5. Step 5: Solve for x
    x = 99,947,819,097.56/154,792.75
  6. Step 6: Final answer
    x = 645,687.99

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.