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Finding the Third Proportional to 232,861.50 and 509,310

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Solution

The third proportional to 232,861.50 and 509,310 is: 1,113,952.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,861.50 : 509,310 = 509,310 : x
  2. Step 2: Convert to fraction form
    232,861.50/509,310 = 509,310/x
  3. Step 3: Cross multiply
    232,861.50x = 509,310 × 509,310
  4. Step 4: Simplify right side
    232,861.50x = 259,396,676,100
  5. Step 5: Solve for x
    x = 259,396,676,100/232,861.50
  6. Step 6: Final answer
    x = 1,113,952.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.