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Finding the Third Proportional to 183,480 and 404,206

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Solution

The third proportional to 183,480 and 404,206 is: 890,464.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,480 : 404,206 = 404,206 : x
  2. Step 2: Convert to fraction form
    183,480/404,206 = 404,206/x
  3. Step 3: Cross multiply
    183,480x = 404,206 × 404,206
  4. Step 4: Simplify right side
    183,480x = 163,382,490,436
  5. Step 5: Solve for x
    x = 163,382,490,436/183,480
  6. Step 6: Final answer
    x = 890,464.85

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