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Finding the Third Proportional to 184,551.50 and 402,455

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Solution

The third proportional to 184,551.50 and 402,455 is: 877,641.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,551.50 : 402,455 = 402,455 : x
  2. Step 2: Convert to fraction form
    184,551.50/402,455 = 402,455/x
  3. Step 3: Cross multiply
    184,551.50x = 402,455 × 402,455
  4. Step 4: Simplify right side
    184,551.50x = 161,970,027,025
  5. Step 5: Solve for x
    x = 161,970,027,025/184,551.50
  6. Step 6: Final answer
    x = 877,641.35

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