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Finding the Third Proportional to 216,243 and 344,350.50

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Solution

The third proportional to 216,243 and 344,350.50 is: 548,351.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,243 : 344,350.50 = 344,350.50 : x
  2. Step 2: Convert to fraction form
    216,243/344,350.50 = 344,350.50/x
  3. Step 3: Cross multiply
    216,243x = 344,350.50 × 344,350.50
  4. Step 4: Simplify right side
    216,243x = 118,577,266,850.25
  5. Step 5: Solve for x
    x = 118,577,266,850.25/216,243
  6. Step 6: Final answer
    x = 548,351.93

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.