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Finding the Third Proportional to 183,468 and 404,184

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Solution

The third proportional to 183,468 and 404,184 is: 890,426.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,468 : 404,184 = 404,184 : x
  2. Step 2: Convert to fraction form
    183,468/404,184 = 404,184/x
  3. Step 3: Cross multiply
    183,468x = 404,184 × 404,184
  4. Step 4: Simplify right side
    183,468x = 163,364,705,856
  5. Step 5: Solve for x
    x = 163,364,705,856/183,468
  6. Step 6: Final answer
    x = 890,426.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.