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Finding the Third Proportional to 119,992.50 and 257,792.63

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Solution

The third proportional to 119,992.50 and 257,792.63 is: 553,843.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,992.50 : 257,792.63 = 257,792.63 : x
  2. Step 2: Convert to fraction form
    119,992.50/257,792.63 = 257,792.63/x
  3. Step 3: Cross multiply
    119,992.50x = 257,792.63 × 257,792.63
  4. Step 4: Simplify right side
    119,992.50x = 66,457,037,504.39
  5. Step 5: Solve for x
    x = 66,457,037,504.39/119,992.50
  6. Step 6: Final answer
    x = 553,843.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.