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Finding the Third Proportional to 235,207 and 517,234.50

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Solution

The third proportional to 235,207 and 517,234.50 is: 1,137,430.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,207 : 517,234.50 = 517,234.50 : x
  2. Step 2: Convert to fraction form
    235,207/517,234.50 = 517,234.50/x
  3. Step 3: Cross multiply
    235,207x = 517,234.50 × 517,234.50
  4. Step 4: Simplify right side
    235,207x = 267,531,527,990.25
  5. Step 5: Solve for x
    x = 267,531,527,990.25/235,207
  6. Step 6: Final answer
    x = 1,137,430.13

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.