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Finding the Third Proportional to 175,083 and 384,457

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Solution

The third proportional to 175,083 and 384,457 is: 844,212.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,083 : 384,457 = 384,457 : x
  2. Step 2: Convert to fraction form
    175,083/384,457 = 384,457/x
  3. Step 3: Cross multiply
    175,083x = 384,457 × 384,457
  4. Step 4: Simplify right side
    175,083x = 147,807,184,849
  5. Step 5: Solve for x
    x = 147,807,184,849/175,083
  6. Step 6: Final answer
    x = 844,212.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.