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Finding the Third Proportional to 185,592 and 404,640

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Solution

The third proportional to 185,592 and 404,640 is: 882,222.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,592 : 404,640 = 404,640 : x
  2. Step 2: Convert to fraction form
    185,592/404,640 = 404,640/x
  3. Step 3: Cross multiply
    185,592x = 404,640 × 404,640
  4. Step 4: Simplify right side
    185,592x = 163,733,529,600
  5. Step 5: Solve for x
    x = 163,733,529,600/185,592
  6. Step 6: Final answer
    x = 882,222.99

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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.