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Finding the Third Proportional to 183,522 and 404,295

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Solution

The third proportional to 183,522 and 404,295 is: 890,653.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,522 : 404,295 = 404,295 : x
  2. Step 2: Convert to fraction form
    183,522/404,295 = 404,295/x
  3. Step 3: Cross multiply
    183,522x = 404,295 × 404,295
  4. Step 4: Simplify right side
    183,522x = 163,454,447,025
  5. Step 5: Solve for x
    x = 163,454,447,025/183,522
  6. Step 6: Final answer
    x = 890,653.15

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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.