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Finding the Third Proportional to 184,640 and 402,536

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Solution

The third proportional to 184,640 and 402,536 is: 877,573.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,640 : 402,536 = 402,536 : x
  2. Step 2: Convert to fraction form
    184,640/402,536 = 402,536/x
  3. Step 3: Cross multiply
    184,640x = 402,536 × 402,536
  4. Step 4: Simplify right side
    184,640x = 162,035,231,296
  5. Step 5: Solve for x
    x = 162,035,231,296/184,640
  6. Step 6: Final answer
    x = 877,573.83

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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.