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Finding the Third Proportional to 230,115 and 537,895.50

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Solution

The third proportional to 230,115 and 537,895.50 is: 1,257,334.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,115 : 537,895.50 = 537,895.50 : x
  2. Step 2: Convert to fraction form
    230,115/537,895.50 = 537,895.50/x
  3. Step 3: Cross multiply
    230,115x = 537,895.50 × 537,895.50
  4. Step 4: Simplify right side
    230,115x = 289,331,568,920.25
  5. Step 5: Solve for x
    x = 289,331,568,920.25/230,115
  6. Step 6: Final answer
    x = 1,257,334.68

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.