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Finding the Third Proportional to 175,797.84 and 384,674.06

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Solution

The third proportional to 175,797.84 and 384,674.06 is: 841,728.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,797.84 : 384,674.06 = 384,674.06 : x
  2. Step 2: Convert to fraction form
    175,797.84/384,674.06 = 384,674.06/x
  3. Step 3: Cross multiply
    175,797.84x = 384,674.06 × 384,674.06
  4. Step 4: Simplify right side
    175,797.84x = 147,974,134,360.25
  5. Step 5: Solve for x
    x = 147,974,134,360.25/175,797.84
  6. Step 6: Final answer
    x = 841,728.95

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.