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Finding the Third Proportional to 184,553.50 and 402,457

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Solution

The third proportional to 184,553.50 and 402,457 is: 877,640.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,553.50 : 402,457 = 402,457 : x
  2. Step 2: Convert to fraction form
    184,553.50/402,457 = 402,457/x
  3. Step 3: Cross multiply
    184,553.50x = 402,457 × 402,457
  4. Step 4: Simplify right side
    184,553.50x = 161,971,636,849
  5. Step 5: Solve for x
    x = 161,971,636,849/184,553.50
  6. Step 6: Final answer
    x = 877,640.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.