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Finding the Third Proportional to 152,037 and 323,743.50

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Solution

The third proportional to 152,037 and 323,743.50 is: 689,370.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,037 : 323,743.50 = 323,743.50 : x
  2. Step 2: Convert to fraction form
    152,037/323,743.50 = 323,743.50/x
  3. Step 3: Cross multiply
    152,037x = 323,743.50 × 323,743.50
  4. Step 4: Simplify right side
    152,037x = 104,809,853,792.25
  5. Step 5: Solve for x
    x = 104,809,853,792.25/152,037
  6. Step 6: Final answer
    x = 689,370.70

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.