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Finding the Third Proportional to 176,535.75 and 362,457

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Solution

The third proportional to 176,535.75 and 362,457 is: 744,183.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,535.75 : 362,457 = 362,457 : x
  2. Step 2: Convert to fraction form
    176,535.75/362,457 = 362,457/x
  3. Step 3: Cross multiply
    176,535.75x = 362,457 × 362,457
  4. Step 4: Simplify right side
    176,535.75x = 131,375,076,849
  5. Step 5: Solve for x
    x = 131,375,076,849/176,535.75
  6. Step 6: Final answer
    x = 744,183.98

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.