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Finding the Third Proportional to 216,082 and 341,881.50

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Solution

The third proportional to 216,082 and 341,881.50 is: 540,919.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,082 : 341,881.50 = 341,881.50 : x
  2. Step 2: Convert to fraction form
    216,082/341,881.50 = 341,881.50/x
  3. Step 3: Cross multiply
    216,082x = 341,881.50 × 341,881.50
  4. Step 4: Simplify right side
    216,082x = 116,882,960,042.25
  5. Step 5: Solve for x
    x = 116,882,960,042.25/216,082
  6. Step 6: Final answer
    x = 540,919.47

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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.