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Finding the Third Proportional to 119,037.73 and 256,297.61

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Solution

The third proportional to 119,037.73 and 256,297.61 is: 551,828.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,037.73 : 256,297.61 = 256,297.61 : x
  2. Step 2: Convert to fraction form
    119,037.73/256,297.61 = 256,297.61/x
  3. Step 3: Cross multiply
    119,037.73x = 256,297.61 × 256,297.61
  4. Step 4: Simplify right side
    119,037.73x = 65,688,462,569.01
  5. Step 5: Solve for x
    x = 65,688,462,569.01/119,037.73
  6. Step 6: Final answer
    x = 551,828.94

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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.