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Finding the Third Proportional to 216,609 and 334,747.50

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Solution

The third proportional to 216,609 and 334,747.50 is: 517,318.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,609 : 334,747.50 = 334,747.50 : x
  2. Step 2: Convert to fraction form
    216,609/334,747.50 = 334,747.50/x
  3. Step 3: Cross multiply
    216,609x = 334,747.50 × 334,747.50
  4. Step 4: Simplify right side
    216,609x = 112,055,888,756.25
  5. Step 5: Solve for x
    x = 112,055,888,756.25/216,609
  6. Step 6: Final answer
    x = 517,318.71

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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.