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Finding the Third Proportional to 118,735.50 and 242,315

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Solution

The third proportional to 118,735.50 and 242,315 is: 494,515.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,735.50 : 242,315 = 242,315 : x
  2. Step 2: Convert to fraction form
    118,735.50/242,315 = 242,315/x
  3. Step 3: Cross multiply
    118,735.50x = 242,315 × 242,315
  4. Step 4: Simplify right side
    118,735.50x = 58,716,559,225
  5. Step 5: Solve for x
    x = 58,716,559,225/118,735.50
  6. Step 6: Final answer
    x = 494,515.62

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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.