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Finding the Third Proportional to 220,711.50 and 341,685

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Solution

The third proportional to 220,711.50 and 341,685 is: 528,964.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,711.50 : 341,685 = 341,685 : x
  2. Step 2: Convert to fraction form
    220,711.50/341,685 = 341,685/x
  3. Step 3: Cross multiply
    220,711.50x = 341,685 × 341,685
  4. Step 4: Simplify right side
    220,711.50x = 116,748,639,225
  5. Step 5: Solve for x
    x = 116,748,639,225/220,711.50
  6. Step 6: Final answer
    x = 528,964.91

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.