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Finding the Third Proportional to 184,545 and 403,551

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Solution

The third proportional to 184,545 and 403,551 is: 882,459.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,545 : 403,551 = 403,551 : x
  2. Step 2: Convert to fraction form
    184,545/403,551 = 403,551/x
  3. Step 3: Cross multiply
    184,545x = 403,551 × 403,551
  4. Step 4: Simplify right side
    184,545x = 162,853,409,601
  5. Step 5: Solve for x
    x = 162,853,409,601/184,545
  6. Step 6: Final answer
    x = 882,459.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.