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Finding the Third Proportional to 215,824.50 and 341,496

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Solution

The third proportional to 215,824.50 and 341,496 is: 540,344.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,824.50 : 341,496 = 341,496 : x
  2. Step 2: Convert to fraction form
    215,824.50/341,496 = 341,496/x
  3. Step 3: Cross multiply
    215,824.50x = 341,496 × 341,496
  4. Step 4: Simplify right side
    215,824.50x = 116,619,518,016
  5. Step 5: Solve for x
    x = 116,619,518,016/215,824.50
  6. Step 6: Final answer
    x = 540,344.21

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.