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Finding the Third Proportional to 112,813.50 and 240,639

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Solution

The third proportional to 112,813.50 and 240,639 is: 513,299.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,813.50 : 240,639 = 240,639 : x
  2. Step 2: Convert to fraction form
    112,813.50/240,639 = 240,639/x
  3. Step 3: Cross multiply
    112,813.50x = 240,639 × 240,639
  4. Step 4: Simplify right side
    112,813.50x = 57,907,128,321
  5. Step 5: Solve for x
    x = 57,907,128,321/112,813.50
  6. Step 6: Final answer
    x = 513,299.63

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Why These Related Problems?

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