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Finding the Third Proportional to 184,599 and 402,546

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Solution

The third proportional to 184,599 and 402,546 is: 877,812.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,599 : 402,546 = 402,546 : x
  2. Step 2: Convert to fraction form
    184,599/402,546 = 402,546/x
  3. Step 3: Cross multiply
    184,599x = 402,546 × 402,546
  4. Step 4: Simplify right side
    184,599x = 162,043,282,116
  5. Step 5: Solve for x
    x = 162,043,282,116/184,599
  6. Step 6: Final answer
    x = 877,812.35

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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.